{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from sklearn.tree import DecisionTreeRegressor\n",
    "from sklearn.ensemble import GradientBoostingRegressor\n",
    "import utils\n",
    "import sklearn\n",
    "from sklearn import tree\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "features = np.array([[10],[20],[30],[40],[50],[60],[70],[80]])\n",
    "labels = np.array([7,5,7,1,2,1,5,4])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(features, labels)\n",
    "plt.xlabel(\"Age\")\n",
    "plt.ylabel(\"Days per week\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fitting a decision tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DecisionTreeRegressor(ccp_alpha=0.0, criterion='mse', max_depth=2,\n",
       "                      max_features=None, max_leaf_nodes=None,\n",
       "                      min_impurity_decrease=0.0, min_impurity_split=None,\n",
       "                      min_samples_leaf=1, min_samples_split=2,\n",
       "                      min_weight_fraction_leaf=0.0, presort='deprecated',\n",
       "                      random_state=None, splitter='best')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "decision_tree_regressor = DecisionTreeRegressor(max_depth=2)\n",
    "decision_tree_regressor.fit(features, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/luisserrano/anaconda3/lib/python3.7/site-packages/sklearn/externals/six.py:31: FutureWarning: The module is deprecated in version 0.21 and will be removed in version 0.23 since we've dropped support for Python 2.7. Please rely on the official version of six (https://pypi.org/project/six/).\n",
      "  \"(https://pypi.org/project/six/).\", FutureWarning)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "utils.display_tree(decision_tree_regressor)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "utils.plot_regressor(decision_tree_regressor, features, labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gradient boosting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1a25f7a090>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# First weak learner\n",
    "x = np.linspace(0,85,2)\n",
    "plt.scatter(features, labels)\n",
    "plt.plot(x, [4 for i in range(len(x))])\n",
    "plt.scatter(features, labels, color='blue')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([6.87466667, 5.11466667, 6.71466667, 1.43466667, 1.43466667,\n",
       "       1.43466667, 4.896     , 4.096     ])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gradient_boosting_regressor = GradientBoostingRegressor(max_depth=2, n_estimators=4, learning_rate=0.8)\n",
    "gradient_boosting_regressor.fit(features, labels)\n",
    "gradient_boosting_regressor.predict(features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "utils.plot_regressor(gradient_boosting_regressor, features, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "**************************************************\n",
      "\n",
      "Weak learner 1\n",
      "Residuals to predict: [ 3.  1.  3. -3. -2. -3.  1.  0.]\n",
      "Predictions: [ 3.          2.          2.         -2.66666667 -2.66666667 -2.66666667\n",
      "  0.5         0.5       ]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "New residuals: [ 0.6        -0.6         1.4        -0.86666667  0.13333333 -0.86666667\n",
      "  0.6        -0.4       ]\n",
      "\n",
      "**************************************************\n",
      "\n",
      "Weak learner 2\n",
      "Residuals to predict: [ 0.6        -0.6         1.4        -0.86666667  0.13333333 -0.86666667\n",
      "  0.6        -0.4       ]\n",
      "Predictions: [ 0.          0.          1.4        -0.53333333 -0.53333333 -0.53333333\n",
      "  0.1         0.1       ]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "New residuals: [ 0.6  -0.6   0.28 -0.44  0.56 -0.44  0.52 -0.48]\n",
      "\n",
      "**************************************************\n",
      "\n",
      "Weak learner 3\n",
      "Residuals to predict: [ 0.6  -0.6   0.28 -0.44  0.56 -0.44  0.52 -0.48]\n",
      "Predictions: [ 6.00000000e-01 -6.00000000e-01 -7.40148683e-17 -7.40148683e-17\n",
      " -7.40148683e-17 -7.40148683e-17 -7.40148683e-17 -7.40148683e-17]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "New residuals: [ 0.12 -0.12  0.28 -0.44  0.56 -0.44  0.52 -0.48]\n",
      "\n",
      "**************************************************\n",
      "\n",
      "Weak learner 4\n",
      "Residuals to predict: [ 0.12 -0.12  0.28 -0.44  0.56 -0.44  0.52 -0.48]\n",
      "Predictions: [-0.00666667 -0.00666667 -0.00666667 -0.00666667 -0.00666667 -0.00666667\n",
      "  0.52       -0.48      ]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "New residuals: [ 0.12533333 -0.11466667  0.28533333 -0.43466667  0.56533333 -0.43466667\n",
      "  0.104      -0.096     ]\n"
     ]
    }
   ],
   "source": [
    "predictions_estimators = []\n",
    "predictions = np.zeros(8)\n",
    "centered_labels = labels-labels.mean()\n",
    "residuals = [centered_labels]\n",
    "for i in range(len(gradient_boosting_regressor.estimators_)):\n",
    "    weak_learner = gradient_boosting_regressor.estimators_[i][0]\n",
    "    print(\"\\n\"+\"*\"*50+\"\\n\")\n",
    "    print(\"Weak learner\", i+1)\n",
    "    preds = weak_learner.predict(features)\n",
    "    predictions_estimators.append(preds)\n",
    "    print(\"Residuals to predict:\", residuals[-1])\n",
    "    print(\"Predictions:\", preds)\n",
    "    predictions += preds*0.8\n",
    "    #plt.scatter(features, predictions)\n",
    "    #plt.scatter(features, residuals[-1])\n",
    "    #plot_regressor(tree[0], features, centered_labels)\n",
    "    plt.scatter(features, centered_labels, color='white')\n",
    "    utils.plot_regressor(weak_learner, features, residuals[-1])\n",
    "    plt.show()\n",
    "    residuals.append(centered_labels-predictions)\n",
    "    print(\"New residuals:\", residuals[-1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predictions of the first i learners"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Up to weak learner number 1\n"
     ]
    },
    {
     "ename": "NameError",
     "evalue": "name 'plot_regressor' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-11-9e6b9dc7ca14>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      4\u001b[0m     \u001b[0mgb_intermediate\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfeatures\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabels\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m     \u001b[0mpredictions\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgb_intermediate\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpredict\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfeatures\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m     \u001b[0mplot_regressor\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgb_intermediate\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mfeatures\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabels\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m: name 'plot_regressor' is not defined"
     ]
    }
   ],
   "source": [
    "for i in range(1,5):\n",
    "    print(\"Up to weak learner number\", i)\n",
    "    gb_intermediate = GradientBoostingRegressor(max_depth=2, n_estimators=i, learning_rate=0.8)\n",
    "    gb_intermediate.fit(features, labels)\n",
    "    predictions = gb_intermediate.predict(features)\n",
    "    plot_regressor(gb_intermediate, features, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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yMhs2bABg7dq1zJ8/n5ycHPr06WOsjd+rNDXdTz75hFGjRmFtbU2tWrUYOnQo27Zte/AvTVEqIZV0LcS5c+fQNI2goCA++OADRISUlBTS0tKoW7cuDg4OXLp0idjY2FKfIzY2loyMDPR6PZGRkcYa8L0KW0MhNzeXU6dOGW+NPnTo0HxrAd91t6ZraluxYoXJuJo0acLmzZuBvDblLVu2lMv0YUUxB9W8YCEOHz5MeHg4IoLBYGD06NF4eXkRFhbGsGHD0Ol0NGjQwGSiLK5OnToxcOBAUlJSaNeuHVOmTClQprA1FFxcXBg7dixpaWnY2Njw9NNPl9sIg8WLFzN58mRatmyJwWCgQ4cOhIWFlcuxFaWiqckRpfAoTo4ICQnBz8+PV155xdyhVGpqcoRSVqp5QVEUpQKp5gUFyBvTqyjKw6dqulXArFmzmDp1qrnDKGDPnj14e3vj6upK165duXDhgslyBoOBKVOm0LRpU5o1a0ZEREQFR6oo5UclXcUsRIRRo0axePFijh8/Tu/evXnttddMll21ahXJyckcP36cvXv3snDhQo4dO1bBEStK+VBJ14LMmzcv34iCmzdvUqdOHa5evcrhw4d59tln8fX1xd3dnffee8/kMe6/FfzGjRvp3Lmz8XFht4Yvb/v378fe3t547kmTJrFu3TpycnIKlI2Ojmby5MlYW1tTp04dnnvuOZNjgBXFEqg2XQsSEhKCr68vixYtws7OjtjYWAIDA3nqqaewt7cnLi4Oe3t7MjMz8ff3p3v37vj5+RX7+D///DOrV68mISEBe3t7du7cyahRo0zeXy0sLIyEhASTx1mxYsUDz3v27FkaNWpkfFyrVi1q1arFhQsXCty77P6yzs7O7N+/v9jXpSiViUq6FqRhw4b4+Pjwww8/MHToUCIjI43TdDMzMwkNDSUxMRErKytSUlJITEwsUdIt6tbwdnZ2+couWbKkzNdz/4y3ooYvlvQW64pSWamka2HGjh1LVFQUOp2OkydP0rt3bwD++c9/8swzz3Dw4EFsbGwYPHhwvunAd9nY2KDX642P7y1T1K3h71fSmu78+fONTQILFiwocNv0GzducOPGDerVq1fgeHfLtm7dGnjwLdYVpVITEbWVcHv88cfPJScnizlkZWXJ008/LePHj5c33njD+PzgwYPlo48+EhGRY8eOSc2aNeWTTz4REZGZM2fK66+/LiIiu3fvlsaNG0tmZqbk5ubK4MGDJSAgQEREduzYIY0aNZKzZ8+KiIher5e9e/c+lOvQ6/XSpEkT2bZtm4iIvP/++zJ8+HCTZSMjI6Vr166Sm5sr165dk0aNGom5fv81atTIBJ6SSvA5VJtlbqqma2Hs7e0ZNmwYERERHD161Pj8jBkzGD16NF9//TXOzs506dLF5Ovbt29Pz549admyJc7Ozvj4+JCamgoUfWv48mZlZcWqVauYNGkSWVlZNGjQgFWrVhn363Q6Nm3aRP369Rk9ejT79u3DxcUFTdOYOnUqj9JsQKVqUdOAS+FRnAasFI+aBqyUlRoyVjpyb7uoUnUYDAYNMJg7DsVyqaRbCtbW1n/d+9VeqRrOnz+PwWAwAH+bOxbFcqmkWwrXrl377K233sq4elV9w6wqsrOzeeONN7Ls7e3XiYj6mqOUmmrTLQVN07RatWp9mJ2d/ZKbm1tWrVq1zB2SkcFgsBcRW2tr6wzA4t5cg8FQHdCsrKwyzB3LXdnZ2Rw5csTexsbml7///jtIRG6aOybFcqmkWwaapj0O+ALVzB3LHX2BQcA0IM3MsZSWNfAvIBP4gMrxjyMHOCoi58wdiGL5VNJ9RGia9jzwPvCsiJw2dzxloWlaNWAL8DsQJupDqjxCVJvuI0DTtN7Ax0AvS0+4ACKSCQQBHYGZZg5HUcqVmhxh4TRN8we+BIJE5OEsCWYGIvK3pmm9gJ2apqWKyCfmjklRyoNKuhZM0zQv4HvgBRH5xdzxlDcRuaRpWg/yEu81Efna3DEpSlmppGuhNE1rAmwir83z3+aO52ERkTN3arzxmqZdF5EfzR2TopSF6kizQJqm1QN2AR+IyP+ZO56KoGlaW2AjMEhEdpk7HkUpLdWRZmE0TXsC+DcQWVUSLoCI7AFGAms0TfM2dzyKUlqqpmtBNE2rDvwE7ANeq4pDqTRNG0beSI0AETlp7ngUpaRUm66F0DTNDvgO+BN4vSomXAARib1T2/9J07SOInLe3DEpSkmopGsBNE2zAqKAXGC8iFTpVa5E5P/TNO1J4N+apgWIyDVzx6QoxaWaFyo5Le/mYJ8AnuRNfsg0c0iVwp3fywdAe6C7iGTcmcmmF5Fs80anKIVTSbeS0zRtFjAA6CwiaknBe9xJvJ8D9cibwTYdEBGZZ9bAFKUIavRCJaZpWhh5Pfa9VMIt6E679gQgi7xZeb8A/c0alKI8gEq6lZSmaaPIWy2sh4hcMnc8lVgN4HmgLjAUaKFpmqN5Q1KUwqmkWwlpmtYXWEReDfeMmcOp7JYCScBuoANwHuhl1ogUpQgq6VYCmqY11DTN/s7Pz5I3UmGAiCSZNTDLMAYYBjwG1AdcgP8xa0SKUgTVkVYJaJp2EHiRvCFhP5G3gM1W80ZleTRNcwDGAq1E5EVzx6Mopqika2aapjUgb7Fuf+A/wKsiEmveqBRFeVjU5Ajz6w3sBDYDs4FdmqY9KSKp5g2rcHeGanWwt7cf6ODgUC/voVLViAjZ2dnXMjMzNwM/iUiuuWOyBKqma2aapm0AfIAdwBPkDfZ/UUTWmDWwItSsWXNJrVq1xo0fP97BycnJWiXdqklEuHr1qnz55ZcZ58+f/+XGjRt9RSTH3HFVdirpmpGmabbkjTE1AAnkdaCtFZFKcyfc+2ma5l67du39p06dqlanTh1zh6NUAtnZ2bRq1ermkSNHQipzZaGyUKMXzMsArARcRKSriHxVmRPuHT2HDRtmpRKucpednR0TJkyo+dhjjw00dyyWQLXpmpGI6IGJ5o6jhGrXr1/f3txBKJXLM888g62t7VPmjsMSlCnpaprmX6NGjZBq1aq5AdblFJNiBiKCXq+/fP369e+A6KLa5lQbrnK/O58J9cEohlInXXt7+xefeOKJxVOnTnXw9PS0srFRlWZLJiJcuHCBiIiIbidOnBitaVqfOzXxSuP69et4eXkRHR1N+/btAVi8eDHr1q3jP//5D1988QWvvvoqzZo1Y//+/QCcOHGC4OBgrl69Su3atYmKisLd3R2AwMBADh06xJw5c3jllVcq5BrOnz/P2LFjOXPmDPb29jRv3pxly5bx5JNPAuDs7IyDgwMODg4AvPnmmwwfPtzksebNm0dkZCQAI0eOZO7cuRVyDUoZiUiJN8DWwcHhxpEjR0R5tNy+fVsaN258AwgU0+/97FmzZpktvh9//FFcXV0lIyND/vjjD3F0dJTTp0+LiEhkZKQMGTIkX/nAwECJjIwUEZHY2Fhp165dvv3BwcHyySeflCiGK1eulDr+ixcvys6dO42Pp06dKi+++KLxcaNGjeTw4cMPPM6OHTvE3d1dbt68KVlZWdKqVSvZsmVLqeMqq+joaHnyySe3SCnySVXbStuR1tLR0VE8PDzKK/crlYSdnR3PP/98dSsrqy7mjsWUPn360LFjR6ZNm0ZwcDDz5s3D2dnZZNnLly9z4MABXnjhBQCGDBnC6dOnOXPmTInPm56eTlRUFD169KB79+6ljv+ZZ56hY8eOxsdt27bl9OnTJT5OdHQ0ISEh1KhRA3t7e8aNG8e3335b6riUilPapFuzdu3aVfruBY+yOnXqWNnb29c2dxyF+eijj/j222+pWbMmEyZMKLRcSkoK9evX527Tl6ZpODk5cfbs2WKd5/bt26xdu5ahQ4fi4+PDoUOHmDt3LgcPHjSWCQsLQ6fTmdzuNnEURq/X8+mnn9K/f/7VKEeNGoWnpycvvvgiV65cMfnas2fP0qhRI+NjZ2fnYl+XYl6lbohVnSmPLk3T7s46q5R27NhB9erV+fPPP7l58yY1a9YstOz9lyElGJfu6OiIo6MjS5cupXv37lhZFayjLFmypPiB3xdHaGgotWvXZsqUKcbnExIScHJyIicnhxkzZhAcHMymTZtMHuPeayvJdSnmpcbpKhYlNTWV0NBQ1q5dS69evZg2bVqhZf/xj39w7tw5cnPzZqeKCCkpKTg5ORXrXOvWraNz58689NJLjB8/np9++gm9Pn/fYmlrumFhYaSkpBAdHZ0vmd+NzdbWlldffZWdO3eafL2Tk1O+ZpK//vqr2NelmFe5Jt3169fj5uaGTqfj8OHDBfb/8MMPRf6RFCYqKoqhQ4eWR4iPtJUrV+Li4kLTpk2ZOHGiMdnc7/Lly/Tq1QsXFxc8PT3ZtWtXBUdaei+//DKjR4+mTZs2LFy4kK1btxIfH2+yrKOjIz4+PqxatQqANWvW4OzsXGgb8P0CAwP57LPPOHbsGAMHDmTlypU0bdqU//3f/zWWWbJkCYmJiSY3Pz8/k8cNCwvj5MmTfP/999jZ2Rmfz8jI4Pr168bH3377LT4+PiaPMWzYMKKiosjIyOD27dt8/vnnjBgxoljXpZhXuSbdZcuWMWfOHBITE/H09My3Lzc3l6CgIN5///3yPKVyx+nTp3nrrbfYuXMnJ0+e5OLFi6xcudJk2fDwcNq1a8eJEyf4/PPPGTVqVKEJujL57rvvSEpKYtasWQDUqFGDlStXMmHCBG7cuGHyNcuXL2f58uW4urqyYMGCQn8nRbGzs2PAgAFER0dz5MgROnToUOpr+Pnnn/nkk084c+YMbdu2RafTMWjQIAAuXbpEYGAgXl5eeHp6smPHDr788kvja/v06WOsPXfu3Jnhw4fj6emJm5sbPXr0oFcvtXa7RSjNkAfgWW9v7+v3DhmZMmWK1KhRQxo3bizt27cXySsoH3zwgQQEBMjUqVMLDOn58ssvpU2bNuLj4yOdOnUyDpW5ffu2TJw4UVxcXCQwMFBeeukl4+u2bdsm3t7eMmnSJGnZsqX4+PjI4cOH5bnnnhM3Nzfp0aOH3Lx5U0RE4uLipF27dqLT6cTDw0M+//xz47mDg4PlpZdekq5du4qLi4sMGjRIbt++LUUB5N1335XWrVtL48aNZevWrRIeHm48fnJysoiIHD9+XPz9/cXLy0tatmwp//rXv0REJDs7W6ZPny6tW7cWb29vGT58uKSlpRV5zuJauHChhIaGGh//+OOPEhAQYLJsjRo15PLly8bHrVu3lm3bthkfL1q0SKpXr75UKuGQsaKYGjL2IKUZMqYUpIaMPfwhYwUsWbIEPz8/lixZwu7du43P3759m+3btxeo4f7888+sXr2ahIQEDhw4wLx58xg1ahSQVzs5ffo0SUlJbNy4kb179+Z7bVJSEpMnT+bw4cO0b9+eXr16sWjRIpKTk7G2tjYOnfH19WXXrl0cPHiQhIQEZs+ezYULF4zHSUxMZMOGDRw9epRLly6xZs2D1+p47LHH2Lt3LwsWLGDAgAF07NiRgwcPMmbMGN555x0Ali5dSt++fTl06BCHDx/mtddeA+D999+nZs2a7N27l8TERDw8PJg5c6bJ8/j7+xfaVmhKcXuzU1NTMRgMPP300w8sa2mqVavG/v37C/1af7/AwEB27NhBjRo1HnJkivJfD30a2bhx40w+v379eg4dOkTbtm2Nz125coXs7Gy2bdtGcHAwtra22Nra8sILL+Rrd2zevLkx+fj6+vLXX3/RsGFDAFq1asXJkyeBvAQzfvx4jh8/jo2NDVevXiUpKYl69eoBMHjwYKpVqwZAmzZtOHXq1AOv5+7sIF9fX6ysrOjbt6/xvGvXrgWgU6dOTJs2jYyMDAICAujWrRuQ1zGTnp7Od999B+StztS0aVOT57n3H1dxFbc3uyw9+pXZ8OHDC529Zcq2bdseYjSKYtpDT7qFDecREcaNG8ecOXNM7ivK3SmSANbW1gUeZ2ZmAjB58mT69+/PmjVr0DQNX19fsrKyCj1Ocdo1777G2toae/v/rvty7+uHDBmCv78/W7duZenSpXz88cds2rQJESEiIoIuXR4878Df359bt26Z3JeYmFjgueL2Zt+dbnrlyhKs4SUAACAASURBVBVjbVf1fCtKxTHbkLH+/fvz5ZdfkpKSAoDBYGDfvn0AdO3ala+++orc3FwyMzP55ptvSnWOtLQ0GjVqhKZpJCQkcOjQoXKLvygnTpzA0dGRMWPGsHDhQn799VcAgoKC+PDDD43JNCMjgyNHjpg8xu7duwvtFTdlyJAhfP/991y8eBERYdmyZYX2Zg8bNoxPP/0UgH379nHx4sV8s6RKSo1aMa/ijloZN24czZs3x9vbm44dO3LgwAHjvn/+85+4ubnh7e1N69atiYuLM+67f1icg4NDqccnK2ZMup06deLdd99lwIABeHt74+HhQUxMDAATJ07EyckJd3d3+vfvT0BAQKnOMX/+fKZNm0a7du2IiorK15TxMMXGxuLl5YWPjw8jRoxg2bJlQN6oAZ1OR9u2bfHy8qJ9+/bl9o+gSZMmzJ49mw4dOtCsWTMcHR0ZP348APv376dPnz7GsgsWLGD37t24uLgQEhLCV199RVkWLFKjVsynJKNWBg4cSFJSEocOHSI8PDxfU8yzzz7LgQMHOHToECtWrGDYsGHGb4X3DovbsmULmqbx3HPPVcj1PZJK0/uGidELyqOjJKMX1KgVyxm1cq8rV66InZ2d6PX6Avv0er3UqlVLUlJSCuxbsGCBDBgwoMDzavSCGUYvKFWTGrViGaNW7rd48WL69OljcmpzZGQkTZs2NXZO3+vzzz83foNSSkctgnufOXPmGEch3GvNmjWFjjRQClKjVirfqJW7Vq1aRUxMjMkpxvHx8cyePZutW7cW2Pfzzz+Tnp6er6lKKTlV073P22+/TWJiIjqdjhdffNHYllXRCffHH3/Ez88Pe3t7pk6dWqHnLg8PGrVyb8fg+fPnsbOzK/OolbsdSJMnTyYgIIDDhw+TmJiIq6trhY1a+fnnn2nevDlLly6lX79+xmuOiIgwXm9ycjIbNmwweZ6S1nRLugZDdHS0Mak6Ojrm27djxw7Gjh3Lhg0baN68eYHXrly5kuDgYKyt1U1iykIl3UrKxcWFlStXlqrXvzJTo1bMN2olJiaGGTNmEBcXVyAxJyQkMHr0aNavX4+3t3eB1968eZPvvvuu0G8wSvFV6qSbmZnJ8OHDcXd3x9vbmx49egBw8eJFAgMDadWqFR4eHoSFhRlrSXcXmh4xYgQtWrSgS5cuJCUl0bdvX1xdXRk5cqSxbEhICBMmTKBr1660aNGCkJAQbt++XSCOnJwcwsPDadOmDTqdjhEjRhgXJlmxYgXu7u7odDo8PT3Zs2dPuVy7q6sr3t7eZRpVUBmpUSvmG7UyatQosrKyGDBggLH2nJqaCsD48eO5ffs2Y8eONe67d/hfdHQ0Pj4+uLi4lEvcVVppet+ooNELa9eule7duxsfp6amiohIZmam3LhxQ0REcnNzpW/fvhIbGysiefPva9eubex57du3r3h5ecn169clJydHPD09ZevWrSKS15Pt6ekpN27ckNzcXOnfv78sWLDAuO/unPx33nlH5s6da4xjzpw5EhYWJiIijz32mPy///f/RCSvl/puXPdKSkoSb29vk9v48eOL/B3MnDlTXn/99RL+5srGUtdeUMxHjV4o/lapq1He3t4cO3aM0NBQAgICjP+1DQYD06dPZ9euXYgIly9fRqfTGQfSd+jQwdjB4uPjg7OzM48//rjxmCdPnjR2cgwfPtzY/jhu3DgiIiJ444038sVRVEdIly5dGDNmDP3796d37964uroWuA53d/dCvx4qilK1VOqk26RJE5KTk/nPf/5DXFwcb7zxBomJiXz66aekpqayZ88eHBwceO2114rsKClJx4mpGyaIFD59d+3atfz2229s376dPn36MG/evAJtasnJyYwcOdLk+fz8/FixYkXhvwSlQqhRK0pFqdRJ99y5czzxxBMEBQXRq1cv1q1bR0pKCmlpadStWxcHBwcuXbpEbGxsiRY6uVdsbCyvvvoqDg4OREZGGmvA97rbEdKuXTuqV69ORkYGp0+fpkWLFpw5cwY/Pz/8/Py4evUqe/fuLZB0VU238nv77bd5++23H1guJCQEPz+/Crtl+/3CwsJISEgwPj527BgLFy4kLCzMLPEoJVepk+7hw4cJDw9HRDAYDIwePRovLy/CwsIYNmwYOp2OBg0amEyUxdWpUycGDhxISkoK7dq1y3e/qrvCw8OZPXs2bdu2NdaEp0+fjouLC2PHjiUtLQ0bGxuefvppIiMjSx3LveLj4wkODiY9PR0RYfXq1URERBAUFFQux1cs071rHly8eJHGjRurKbmWpjQNwTwi04DVAtamVfaOtFu3bhmn/3p5eRk7Wy9cuCCdO3cWX19fcXd3lylTpojBYBCRvA7W7t27y/Dhw6V58+YSGBgoR44ckT59+oiLi4s8//zzxrLBwcHy4osvSpcuXaR58+YSHBwsWVlZxn13PzNFTe/97LPPxM3NTby9vaVly5by66+/lvvvobApueagOtIekY40RTFly5YtpKWlkZycDMC1a9cAqF27Nhs2bKBmzZro9XoGDBjAmjVrjB2s+/bt4/DhwzRs2JB+/foxcuRIEhISqFGjBr6+vsTHxxu/Ne3Zs4fdu3dTrVo1Bg0axOLFiwt0sN47vRdg7ty5zJw5k8WLF/P6669z9OhR6tevT05OjsmhiGVt6//888/VQkIWqEon3aioKHOHoJSCGtWipuRasiqddBXLpEa1qCm5lqxSz0grD7NmzaoUaxfs2bMHb29vXF1d6dq1a75Vr+63Zs0aPD098fDwwN3dPd/ceiVvVIumaQQFBfHBBx8gIoWOaimt2NhYMjIy0Ov1DxzVcv/03tzcXE6dOoWfnx9Tp05l6NChBVZMg//WdE1tRSVcNSXXsqmabgUQEUaNGsWKFSvo3LkzH3zwAa+99ppxKcJ7HTx4kBkzZhAfH0/9+vVJT09/5KYCl1VVHtUCakquxStN7xtmGL0wd+5ceeWVV4yPb9y4IU888YRcuXJFfv/9d+nYsaP4+PiIm5ubvPvuu8Zy906jvX8x7Q0bNuRb8LmwxbXLau/eveLu7m58nJ6eLg4ODpKdnV2g7KhRo+Szzz4rl/OWVmUfvfCwqVEtJadGLzyCoxdCQkLw9fVl0aJF2NnZERsbS2BgIE899RT29vbExcVhb29PZmYm/v7+dO/evdi34ob8i2vb29uzc+dORo0aZXJhkvsHqN9rxYoVBc57/0LTtWrVolatWly4cKHAak/Jyck0adKEgIAA0tPT6devH7NmzVJtd4ryiLCYpNuwYUN8fHz44YcfGDp0KJGRkcbe5MzMTEJDQ0lMTMTKyoqUlBQSExNLlHSLWlzbzs4uX9nS3JSvuLc9z8nJ4bfffmPLli0YDAaCgoJYvnw5oaGhJT6nUjpqVIvyMFlM0gUYO3YsUVFR6HQ6Tp48Se/evYG8O5k+88wzHDx4EBsbGwYPHpyv1/ouGxsb9Hq98fG9ZUQKvyX8/Upa071/oekbN25w48YN450M7tWoUaN8dzYYPHgwe/fuVUlXUR4RFjV6YdCgQezdu5f58+czevRo41futLQ0GjZsiI2NDX/88YfJW40ANG3alEOHDpGVlYVer8/XkVXU4tr3u/fuqPdvpmrXrVq1Iisri+3btwN59wIbOHAgtra2BcqOHDmSn376CYPBgF6v56effjK5qLRSuMoyYuV+xR3BYjAYmDJlCk2bNqVZs2ZEREQY96WmpjJw4EC8vLxwc3MjODiYzMxM4/4dO3bQunVrPDw8aNGiBb/88stDvy6lZCyqpmtvb8+wYcOIiIjg6NGjxudnzJjB6NGj+frrr3F2djY5bhKgffv29OzZk5YtW+Ls7IyPj49xEed7F9fW6/VkZ2fTr18/WrduXea4raysWLVqFZMmTSIrK4sGDRqwatUq436dTsemTZuoX78+I0aMYP/+/Xh4eGBtbU2nTp3MtriKUn6kBCNYVq1aRXJyMsePH+fvv//G19eXLl260KJFC+bNm0eTJk1Yt24der2evn37EhkZSWhoKOfPnyc4OJjNmzfj5uZGVlaWyW98ipmVpveNR2TtBcW0yjJ6wZJHrNyvJCNY+vTpIzExMcbH06ZNk5kzZ4qIyKuvviovvvii6PV6uXXrljz77LOyfv16ERH517/+Zbzte0VToxeKv5W2eSFb/Qd9dGVlZZGTk2P2NzgkJITo6Giys7MB8o1YcXZ2Ji4ujgMHDvDbb78RExPD/v37S3T8om4Hf7+wsLBCbxhZnPMWNYLlQWXvva36W2+9xcmTJ6lbty6Ojo64u7sbV55LTk4mMzOTbt26odPpmDJlinHihlJ5lLZ54eiZM2cc0tLSeOKJJ8o1IMX8Nm/efCMnJ8d0g3YFsvQRK/cr7giW+8veW+7ufdji4uK4desWQUFBREVFERISQk5ODtu3bycuLo6aNWsyduxYZs2axcKFC8scu1J+SpV0RST98ccfX9WnT5/nP/roo+otW7ZUs6YsnIhw4cIF/u///k9/8ODBdGCjuWMCyx2xMn/+fFavXg3AggULSjSC5W7Zu/0J995W/ZNPPuHzzz/H2tqaWrVqMXToULZt20ZISAiNGjXCx8fHWBF6/vnn1SpklVCpM2V6evqkgwcPnunZs+eEzMzMugaDwaJGQigF2dvb37S2tt6UkZHxhohkmDseyBuxEhYWZnLEyt1/9ndHrJjqQL13xIqtrW2BEStjxoxhwoQJ/OMf/8BgMPDbb7+Z7DwtaU03PDyc8PBw42ODwWAcwdK5c+ciR7AMGzaM5cuXM3jwYNLT04mJiWHz5s1A3mI/mzdvpk2bNuTk5LBlyxY6deoE5I18mT59Ordv38be3p7NmzerkS+VUKmTrojogXl3NkV5KCx1xMr9SjKCZfTo0ezbtw8XFxc0TWPq1Km4ubkBsHjxYiZPnkzLli0xGAx06NDBeKsef39/+vfvj06nw8bGhpYtWxpvA69UHlpR7UqKcj9N02bPnDnz7VmzZpk7FKUSiY6O5uWXX95y9erV3uaOpbJTTQJKSd1KS0vLMXcQSuXy999/o9fr080dhyVQSVcpqR1r1669fXcYl6KICKtXr864fv36ZnPHYglU84JSIpqmabVq1fq3u7t7h//5n/+p3qBBA6ys1P/uqkhEuHr1Kl988UVWfHz8mZs3b7YWkZvmjquyU0lXKTFN0+yAMXXq1HkecDR1KxtzExE7vV7f2MrK6pKVldV1c8dTGiJSw2AwOFlZWf2laVqlm+VwJ3ekX79+fa3BYFghIn+bOyZLoJKu8sjRNO0ZYCewVETKPqvBjDRN6wt8DnQRkSRzx6OUnfpeqDxSNE17HNgMfGvpCRdARH4EXgO2aJrmbN5olPKgppEpjwxN06oBPwC7gVnmjab8iMjXmqbVAbZqmtZRRC6ZOyal9FTzgvJI0DTNBlgL3AReEBGDmUMqd5qmzQIGAJ1V+6nlUklXsXiaplmR1+75DDBARB7J8WxaXo/lEsAL6CUimQ94iVIJqaSrWLQ7iWgR0BboLiKVrpe/PN35B7MKqAkMERE1UcXCqI40xdK9CXQD+j3qCRfgTrNJMHn9MSvvJGHFgqg3TLFYmqZNBsYDPUUkzdzxVJQ7tduhQBNgkVYZB0orhVJJV7FImqY9B7wF9BAR03d4fITdqdX3B7oC/zRzOEoJqCFjisXRNK0n8Al5bbinzB2PuYhI2p3fxS5N066JyP+ZOyblwVTSVSyKpmntyOtIGigiv5s7HnMTkQuapnUHdt5JvNHmjkkpmkq6isXQNK0lsB4IFpGfzR1PZSEif2qa1pu8yRPXReTf5o5JKZxq01UsgqZpjYEtwP+KyCZzx1PZ3Kn1DwZWaZrW3tzxKIVTSVep9O4sYPMTMF9EvjF3PJXVndr/GGDdnW8FSiWkkq5SqWmaVhv4N7BKRJaaO57KTkQ2A6+St0BOY3PHoxSk2nSVSkvTtOrkLWCTADz4PukKACLyraZpT/DfBXIumjsm5b9UTVepVDRNe0fTtEaaptkC0cBZ4FVR89VLREQigC/Jq/HW1jTNTtO0z9VECvNTay8olcadmu1FoBF5C7s8AQxS6wuUzp0E+zHgC/QE/iBvbPMxswZWxamkq1Qamqb1Ad4ADgGtyJtt9sivp/Aw3Vmb4UugNnAeOCYiH5o3qqpNNS8olUkf4DbQGXgPWKppWj+zRmTBNE3zBr4B1gAa4Ere71gxI1XTVSqFO1+FrwD2QCp5i5FHAuqGh6V09waiQAjQDBDAEagtIjfMGFqVppKuUincuR3NRfI6zxYDv6nOs/KjaZorMBF4GXhORDaYOaQqSyVdRVGUCqTG6ZYjTdMaAk6otvJHwVXgj+LWtjVNawrUJa/tVKl6hLzPzPEHfWZU0i0HmqbVf+yxxzbWqFHDzdnZ+ba1tbW5Q1LKQES4ePGiTWZm5g1N04aJyK7Cymqa5lmrVq31TzzxxDMNGjTIsbJS/2+rIoPBwMWLF22ysrL+vvOZ2V1oYRFRWxm3xx577PDMmTNzsrOzRXk0GAwG2bhxozg4ONwEnhQT7ztgV61atdSoqCiDXq83a7yK+RkMBlm3bp04ODjcIK+z0mS+UP+Wy0jTtKaapjV96623bGxtbc0djlJONE2jb9++BAYGCnl3aDCli4uLi01wcLCmariKpmkMGDCAZ599VoBChzqqT0rZNWnevHm2alJ4NLVp06ampmlNCtnd2NfXVzXRKfm0bt26JlDoYkMq6ZadlY2N+rt7VNnY2GBlZVXYf1QrW1tb9Tek5GNra6sBhdbC1AdGURSlAqmk+5CsX78eNzc3dDodhw8fLrD/hx9+YNq0aSU+blRUFEOHDi2PEB9pK1euxMXFhaZNmzJx4kRyc3NNlrt8+TK9evXCxcUFT09Pdu0qdKBCsaj33byK+76PGzeO5s2b4+3tTceOHTlw4IBx3+eff46npyc2NjYsXZp/Ced//etfeHp6otPp0Ol0REeX4pZ0hfWwqa14G9DT39//+v09mb169ZKYmBiTvZw5OTkmny+OyMhIGTJkSKlfXxX8+eefUq9ePblw4YIYDAbp37+/LFu2zGTZsWPHysyZM0VEZO/eveLk5JTv/Zk7d65YW1u/I6bf+5cnTJiQee/x1PtuPiV539evX298PzZs2CDNmjUz7ktMTJTk5GQZPXq0fPLJJ/lel5aWZvz53LlzUqtWLbl27Vq+MjNnzhRglqjRCxUnLCyMnTt3Mn36dPz9/YG8ns1FixbRuXNn3nzzzQI1l6+++oq2bdvi6+tLQEAAR44cASA7O5tJkybh6upKly5d2Lt3r/E127dvR6fTMXnyZDw9PfH19eXIkSMMHz4cd3d3evbsSUZGBgDx8fG0b98eHx8fWrZsSWRkpPE4ISEhhIaG0q1bN1xdXRk8eDDZ2dlFXqOmabz33nu0adOGJk2aEBcXx5tvvmk8/tGjRwE4ceIEHTp0wNvbG09PT2bMmAFATk4O4eHhtGnTBp1Ox4gRI7h+/Xo5/Pbhu+++Y9CgQdStWxdN05g8eTLffvutybIxMTG8/PLLALRu3Zpnnnmm1LVd9b5bzvseFBTE3b6Ydu3acfbsWQwGAwDe3t64ublhakRK7dq1jT/fvHkTTdOMryu2wrKx2spW0w0ICJANGzYYHwPyzjvvGB/fW3PZtWuX9OnTR7KyskREJCEhQby8vEREZMmSJdK9e3fJzs6WjIwMadWqlfF127ZtExsbGzl48KCIiISGhkqDBg0kJSVFRER69+4tn332mYiIXLt2TXJzc0VEJDU1VRo1aiTnz58XEZHg4GBp37693Lp1S3Jzc8Xf31+++eab+y8pH0CWLl0qIiIxMTFSvXp12bhxo4iILFiwQEaNGiUiImFhYfmuOzU1VURE3nnnHZk7d67x+Tlz5khYWJjJc7Vv3168vb1Nbqa88sorsmDBAuPjpKQkady4cYFyV69elWrVquV7btiwYfLFF18YH5e0pqve98r/vt9vxowZMnDgwALPBwcHF6jpiogsXrxYXF1dpXr16rJ69eoC+x9U01Xd7hVo3LhxJp9fv349hw4dom3btsbnrly5QnZ2Ntu2bSM4OBhbW1tsbW154YUX8tXEmjdvjk6nA8DX15e//vqLhg0bAtCqVStOnjwJQGpqKuPHj+f48ePY2Nhw9epVkpKSqFevHgCDBw+mWrVqALRp04ZTp0498HqGDx9uPK+VlRV9+/Y1nnft2rUAdOrUiWnTppGRkUFAQADdunUDYN26daSnp/Pdd98BeTW7pk2bmjzP7t2FT+4pzL03SBApfFbm/TdSKKpsaan3vfK973etWrWKmJgYdu7cWexzhIWFERYWxqFDh3jhhRfo1q0bTz75ZLFfr5JuBapZs6bJ50WEcePGMWdOwduAPeiD4+DgYPzZ2tq6wOPMzEwAJk+eTP/+/VmzZg2apuHr60tWVlahxymsA8LUua2trbG3tzf5+iFDhuDv78/WrVtZunQpH3/8MZs2bUJEiIiIoEuXLg88j7+/P7dumV7LPDExscBzTk5OnDlzxvj4r7/+wsnJqUC5u38oV65c4emnny6ybFmo971yve93RUdHM3v2bOLj43F0dHxgPPfz9vamQYMGbN++nSFDhhT7dapNtxLo378/X375JSkpKUDePO59+/YB0LVrV7766ityc3PJzMzkm29KdwfytLQ0GjVqhKZpJCQkcOjQoXKLvygnTpzA0dGRMWPGsHDhQn799Vcgr03tww8/NP5RZWRkGNsz77d7924SExNNbqYMGTKE77//nosXLyIiLFu2jBEjRpgsO2zYMD799FMA9u3bx8WLF+nYsWNZL7tY1Ptuvvc9JiaGGTNmEBcXV6J/snfbrAFOnTrFwYMHcXd3L/brQSXdSqFTp068++67DBgwAG9vbzw8PIiJiQFg4sSJODk54e7uTv/+/QkICCjVOebPn8+0adNo164dUVFR+b7SPkyxsbF4eXnh4+PDiBEjWLZsGQDh4eHodDratm2Ll5cX7du3L7eE0KRJE2bPnk2HDh1o1qwZjo6OjB8/HoD9+/fTp89/b56wYMECdu/ejYuLCyEhIXz11VdU1GQX9b6b730fNWoUWVlZDBgwwDj8KzU1FcgbntewYUNiY2N56623aNiwIQcPHjTG7+HhgU6nY/jw4SxduhQ3N7eSBVpYY6/aytaRpjwaStqRpihqyJiiKEolojrSlELNmTPH2Bt9rzVr1hTa46xYPvW+P1wq6SqFevvtt3n77bfNHYZSwdT7/nCp5gXlgUJCQgrMQa9IP/74I35+ftjb2zN16lSzxaHkZ+7PBeTVvj09PfHw8MDd3T3fkLHKStV0lUrPxcWFlStXEhsbm2+MqVK1HTx4kBkzZhAfH0/9+vVJT0+vsJEnZaFquhYiMzPTOLfe29ubHj16AHDx4kUCAwNp1aoVHh4ehIWFGQfWR0VF0aNHD0aMGEGLFi3o0qULSUlJ9O3bF1dXV0aOHGksGxISwoQJE+jatSstWrQgJCSE27dvF4ijqLnzK1aswN3dHZ1Oh6enJ3v27CmXa3d1dcXb29si/qAqWlX+XCxatIjXX3+d+vXrA/DYY49RvXr1cjn2w6Q+xRZiy5YtpKWlkZycDMC1a9eAvAU4NmzYQM2aNdHr9QwYMIA1a9YYF1XZt28fhw8fpmHDhvTr14+RI0eSkJBAjRo18PX1JT4+3jhFc8+ePezevZtq1aoxaNAgFi9ezBtvvJEvjvfff5+aNWsaF2CZO3cuM2fOZPHixbz++uscPXqU+vXrk5OTY/KPMzk5mZEjR5q8Rj8/P1asWFE+v7Aqoip/LpKTk2nSpAkBAQGkp6fTr18/Zs2aRWW/i4tKuhbC29ubY8eOERoaSkBAgHGgt8FgYPr06ezatQsR4fLly+h0OuMfV4cOHYxz8n18fHB2dubxxx83HvPkyZPGP67hw4cbp6yOGzeOiIiIAn9cRc2d79KlC2PGjKF///707t0bV1fXAtfh7u5e6IwipeSq8uciJyeH3377jS1btmAwGAgKCmL58uWEhoaW6DgVTSVdC9GkSROSk5P5z3/+Q1xcHG+88QaJiYl8+umnpKamsmfPHhwcHHjttdeKnFtfkrn29y8GAxQ5d37t2rX89ttvbN++nT59+jBv3rwC0zBVTbd8VeXPRaNGjfIt2DN48GD27t1b6ZOuatO1EOfOnUPTNIKCgvjggw8QEVJSUkhLS6Nu3bo4ODhw6dIlYmNjS32O2NhYMjIy0Ov1REZGGms69yps7nxubi6nTp3Cz8+PqVOnMnTo0HxrwN51t0ZjalMJt+Sq8udi5MiR/PTTTxgMBvR6PT/99BPe3t6lvs6Komq6FuLw4cOEh4cjIhgMBkaPHo2XlxdhYWEMGzYMnU5HgwYNTP5BFFenTp0YOHAgKSkptGvXjilTphQoEx4ezuzZs2nbtq2xxjN9+nRcXFwYO3YsaWlp2NjY8PTTT+dbMLss4uPjCQ4OJj09HRFh9erVREREEBQUVC7Ht2RV+XMxYsQI9u/fj4eHB9bW1nTq1IlXXnmlXI79UBU2P1htVWvthcIWbK7qqvraC+pzUXJq7QVFUZRKRDUvKEDe2E1FuZ/6XJQ/VdOtAmbNmlUpp8/u2bMHb29vXF1d6dq1KxcuXCi0rCVO96zsLP1zYTAYmDJlCk2bNqVZs2ZERERUcKSlo5KuYhYiwqhRo1i8eDHHjx+nd+/evPbaaybL3p3u+e9//5ukpCR+/fXXUt1eRan8SvK5WLVqFcnJyRw/fpy9e/eycOFCjh07VsERl5xKuhZk3rx5+XqOb968SZ06dbh69SqHDx/m2WefxdfXF3d3d9577z2Tx7j/FuAbN26kc+fOxseF3RK8vO3fvx97e3vjuSdNmsS6devIyckpUNZSp3tWlKr6uYiOjmbyK3xNeAAABDlJREFU5MlYW1tTp04dnnvuOVavXv1Q4ipPqk3XgoSEhODr68uiRYuws7MjNjaWwMBAnnrqKezt7YmLi8Pe3p7MzEz8/f3p3r07fn5+xT7+zz//zOrVq0lISMDe3p6dO3cyatQok7dTCQsLIyEhweRxVqxY8cDznj17lkaNGhkf16pVi1q1anHhwoUC96yy1OmeFaWqfi7uL+vs7Mz+/fuLfV3mopKuBWnYsCE+Pj788MMPDB06lMjISON0zMzMTEJDQ0lMTMTKyoqUlBQSExNL9MdV1C3B7ezs8pVdsmRJma+nuLc/t9TpnhWlqn4u7i9bVLnKRCVdCzN27FiioqLQ6XScPHmS3r17A/DPf/6TZ555hoMHD2JjY8PgwYNNLoNoY2ODXq83Pr63jEjhtwS/X0lrNPPnzzd+9VuwYEGB22XfuHGDGzduUK9evQLHs9TpnhWpKn4u7pZt3bo18OBbrlcWqk3XwgwaNIi9e/cyf/58Ro8ebfyKnZaWRsOGDbGxseGPP/5g69atJl/ftGlTDh06RFZWFnq9nm+//da4r6hbgt9vyZIlhU7bNFWLCg8PN+7v2bMnrVq1Iisri+3btwOwfPlyBg4ciK2tbYHXWup0z4pUFT8Xw4YNY/ny5ej1etLS0oiJiWH48OEl+r2Zg6rpWhh7e3uGDRtGREQER48eNT4/Y8YMRo8ezddff42zs7PJhUcA2rdvT8+ePWnZsiXOzs74+PgYbz197y3B9Xo92dnZ9OvXz1iTKE9WVlasWrWKSZMmkZWVRYMGDVi1apVxv06nY9OmTdSvX99yp3tWoKr4uRg9ejT79u3DxcUFTdOYOnVqyW+Hbg6FTVVTW9WaBqyYVtWnASslp6YBP3xiMBjMHYPykBgMBgxFvMF6vd4yem+UCnPn41Lo50Il3bK7fPbsWWuxkJ5TpWROnDiRKSKXC9l96dSpUwUHkCpV2vHjx28Blwrbr5Ju2R26fv165saNG80dh1LOTp06xffff68Bhb25W3/55Rc7dScM5a4TJ07www8/WAE/FlZGUzW0stM0rZ2Dg8NPvr6+otPp7G1sbAoura9YDL1ez19//ZUdHx9vk5ub+3p2dnahk/qtra2H2NrarurUqVOOq6urvZqwUTXp9XrOnDmTHR8fb5ubmzslJyfns8LKqqRbTjRNqwH0BJxQ3yAeBanAFhEp9GviXZqm1QF6Ac8A6h9u1XWVvM9MYc1RgEq6iqIoFUrVyBRFUSqQSrqKoigVSCVdRVGUCqSSrqIoSgVSSVdRFKUCqaSrKIpSgVTSVRRFqUAq6SqKolQglXQVRVEqkEq6iqIoFUglXUVRlAqkkq6iKEoFUklXURSlAqmkqyiKUoFU0lUURalAKukqiqJUIJV0FUVRKpBKuoqiKBXo/2+njgUAAAAABvlbz2JXQSRdgJF0AUbSBRgFvaZ4SMOHd0cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for tree in gradient_boosting_regressor.estimators_:\n",
    "    sklearn.tree.plot_tree(tree[0], rounded=True)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "utils.display_tree(gradient_boosting_regressor.estimators_[0][0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "utils.display_tree(gradient_boosting_regressor.estimators_[1][0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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mm44CzFRfhqDhBKaWQcF1tX2HeQWHb3zxJXaMpiL1yzI7lm35TMtviRlvwxO1lWR+5RTuWWqL5BUAgIqsxKKpprSVVDBo9LaF05CfdVXkAACWBprIqRwAYDFawzcwKqOgBGnZ7Dh1/Vxr6nVPWxtRgJcb3/h3GUouDvb9K+yQRXnRaJSJrmry74LiShxSXKRL3Q+GTCIDAMKTMpOz/uiryQMA1tlbL7Mdz8GOZXxMltta0H5iVW39aa83ncWjKifRPrX0pgpyYPRPZ3evqtqGs5sXIgvhdL/6MgQNJzC1sJ6oIN8YTcUOX8oqLKNQKI3NLSuO3aI2Iuf6vOIKNgwaAKCn+s+IALpzpZSoIDv2v79lpOI9beFh5M5MaxsR+VVdXrIG3+Dx7HNcak5BWVVOcUV9YzNtf1FBPmQjCCE+bgBAY3NLN/e0+8FwcbK7LLc7cc/fYu1xDQUpSwPNqSZ6kwx1MWg042NC94nq8pLln250Fg81mH8ae1QFOa+k0uXa049Rycoy4ncPrZ04Vhtp7371ZQgaTmBqYT2Ojk5wiBp8I9KBjQ1DbRQW4HWcYqKlJFOJwwMAMP9O6OOgOfWDjkqTMZgAeOVp4Kn7b9ixbONHa0wcp71nqa3Hs88FZVXUDlwc2Pbv6n5NEaaC2bPUdv4kI9/AyE8xv+69Db3zOkRVTuLjlb2MjwndRlAoFBcHc8XZelAF+VlQzPaL3igU6sSG+RvmTab9C21fgmyqid6Vp4Htqy9D0HACU8ugpiglCgBQkZW4e3ANtZFEJjc0Ebg42D/F/AQARCT/pl3O609Zdc8+q6q2/sjtV6ICfEk+p6kDsc55v+959L3Q2kZsbmmVlxQ5uGrOwVVzymvqznm/v+0ffMsv2HGyMej8mNBtp7ymzv3RO9CJpTPGtz/1M1sFOTD657rT94x0lL1c18tK/FO+uqiiJiEjb6yGEm17Z9WXIWg4gSNVBjVlGXFRQb4v8altRBK18YLPB7mZWxMy8gw0FLFsmLDEv9UeiSTy8y+xPfuswvJqMpliZzmGmleKKmp+ZRf2Jv4eC/uRITdz68uvccivEsIC2xdOBwDU1jcyPiZ026lraH74PryzP7ntbqAB5qsgH7vjx8/D5X1sE11eAUxWX4ag4QRetQxq7Fi2o2vnbj73cO2puzsWTefj4XofkXTu0buJ47RNdFVRKNTaOdY3XgY5uz9YN2ciQKHcHrzFN3bxqLkzanKSPFwcr0LipxjrqctLxqRkn7z3mo+Hs6G5JauwTE2ug1EG/cdEV1VMiM/tYYC0mJC+mnxucQVy/TTNdBTjY0K3HXV5yaogT2Y/nXEVZNqSybX1TWl5xaPU5D2ef6LbiMVozWkmeoyrL0PQcAVTy2C3zNaiuaXV1fOlX0g8AIANg15ua3l4jT1ymju2fl4ToeXBuzCkHL3VGK1zWxevPdWTIo+83Jw39q3cdNZrwQEPAIAQP4+b8wJuLo71p+8brzhc8/V2n+5W18HcPbR2w5n7ttvPIS2c7NjDa+ynmYwCXR2T3mNcBZm2ZHJMSjaFQkn+XUAtZkOFAqjppqMYV1+GoOEK1f1nsBBjz58/X7BgQc9q93apoYmQnPWnsblFW1lGVpz+xktRRU1abrGGgpSClGgvP6gG35Cc9UdSRFBTQQo5U9fgG2rrm1iyhH4zoTUlt6iwvFpEgE9bSUZM6J+n6IyPSe8RSeS+qoLcWfVlxvit1jx79szREeYhaOiBVy1DAy83Z4drIyJkxYX76twqzM9LHThLbRHm5+3yjTsvPWbw6sKppkY6KswGw8XJbqit3FkpYsbHpPf6sAryyFkxGoIQMLVAfcPCQJPBq3ST2yEIGt5gaoH6hr3VOFaHAEHQYAEHH0MQBEF9DKYWaIB8jvn1MjiO1VH8RSSRm1tgyTUI6hfwhhg0QC4/CcwrqZhvbcTqQEBwfOqR26/S8oqJJLKchMjWBVPXzJ7IYMkZCIKYBVMLNLKEJqbb770swMvlZGOOZcO8Dk3YfcW3qrb+wMrZrA4NgoYPmFqgkcX94TsKhfLtlquStBgA4OjaeRoOe64++7xv+SxYoQuC+gpMLcMc4zLAoKuKxUyVHF5x7JauiqzFaM2br758S0wXE+JfNNV028LpHd5rYlyBuMuwe6yoskZGTAjJKwAAXm7OcZpKkT9/t7S2wQIqENRXYGoZ5hiUAQbdqFjMVMnh0IT0H5n5l58EWhporpw14Wt86pHbr3KKK67tWU4XVZcViBmH3RuzLAw8nn3+HPMLyWRZhWVhPzKsxmrBvAJBfQimluGMcRlg0I2KxUzVPwYA5JVUnnFe4OwwBQBwaNUcu10XvD9ErJltRbdmMOMKxF2GTdWD+sQb5k76lpDusP+qsY4KJzs2LClDSkTwyNq5PTrAEAR1DKaW4YxBGWCkQ5cVi5mqfwwAEODl3jR/MvIzGo3a5TQj7EfG1/hU2tTSZQXiLsOm6kF9YgFebjkJkZ/ZhYmZ+WwYDJlMwWAw9U2EbhxOCIK6C6aW4YxBGWCkQ5cVi5mqfwwAUJEVp11+WEtRBgBAV1arywrEXYZN1YP6xNO2nE3NLbq4w2m+tREHO1tQbMqW8w/nu1yJf3BcXrK3i3tCEISAQ2KGuT1LbZN9z+xbNpOLg/3e21AHl6tGK1zLa+qQV688DdScv+fso4A2EmniOG1Pl5V0JU+YKjkMAJAUEaT9lYeTHQDAyf7PKZ62AjH1D10FYsZhUyH1iTv70z4VZRaUpuYWWYzWWDPbSpCPm4uD3c5yzJLp5s2E1rdhiQz2C4IgpsCrluGMQRngw2vs+6NiMV3dxoKyagAAXRkxxlWZuwybdlPM1idOySkCAIwfrUHbaD1O+9rzz7X1PSyhBkFQe/CqZThjUAYY9E/F4uzCspyicuqvjz9GAgD0VOVp+3RZgZhx2LSYrU+sqSgFAHgd+p22Eaknpq0s05sdhyCIFrxqGc4YlAEG/VOxmESmLDp03XX1HFU5ybdhiZ5+X+ZONKSrA99lBWLGYdNitj6xlqKMtaFOcHyq/Z5LC6eaykuKBIT/ePk1TktReuZ4gx7sLwRBHYKpZThjXAa4PyoWW43RkhITXHrkJplMAQBYjNa4uGNJ+26MKxAzDrs30GiUl+u63Vd9X36N+xqfijSa66vf2Leyw2f+EAT1DCxg3Gf6tYBxbzAuA9yHFYsV7baP0VT0c99eW9/0IzNfSlRQs93YX1qMKxAzDruXiitxGfklzS2t6vJSanIStKPaBg9YwBgauuA3teGPcRngHlcsZkCQj3viOO0uuzGuQMw47F6SEROSERPqjy1DEATgY3wIgiCoz8HUAvUZSREBEYFeXe5AEDQ8wBtiECOfY37hm5q7Wb8rxutYf8fDAJlM6X45L6Y6QxDELJhaIEYGT2nIzmQXlt9+Hfw+Ignf2Gyiq+rsOMVqjFafdIYgqMfgDTFoCGtuaV1wwMP7Q8RkI501s61yissX7PeITP7d+84QBPUGvGqBhrDjd/2zCstend02xVgPALBx/mSzVUc3uN3/9cStl50hCOoNeNUy/O2+4jtty9my6n/Wdtx6/tHs3ReRRYvDkzJ3XfYxcDqo5bBn1fHb996GksjkDje17vS9Naf+mbhz0ffjtC1niaT/+tc1NO289Nh4xWFV+51LXG98jvnVP/v0H5/ASF0VWSRVAADEhfgnGekWlFZ9T8/tZWcIgnoDppbhT0VGPPpXFu3KvqVVtY8+hAvz87Bj2cJ+ZNjtvPAyOG6Soc4yW4uiipodFx8fve3X4aaSfhckZebTtuQUlUf/yiKTyQCA4kqc+Zrjvp+izfXVnWzM/5RVOR64euNlUD/tV3VdQ219k9W/k3JUZSUAAIkZBb3pDEFQL8EbYsOfw2Tjgzefv/n2fZ39RKTFPzSeTKY42YwH3Sg02X2Ma0fS9uxBdcj2sgrLAACSIgK0jWrykgCAqlp8bzpDENRLMLUMf6KCfFOM9T7H/KrE1SPLpbz8Gi8tKoRMwu+y0GQ3dVk7krZzD6pDkskUQmsr9VcOdmxuUQUAQIjvn6QlLyECAKhtoF8hn6nOEAT1EkwtfQZZh4pCoQzCBakWTzf7GJUcEJ64ym7Cn7Kq7+m5u5bMQCZ2dFlospu6rB1JqwfVIb+n5052PkP99b7rOnZ2NgAA7t+V9hsJLaBdCgEAMNV5MEAW9xuE/5YgqDtgaukzvLy8AIDmllZuTg5Wx0Jvuqm+IB/3m28Jq+wmvAqOBwAsmW6OvHTlaeCp+2/YsWzjR2tMHKe9Z6mtx7PPBWVV3dwyDv/fyZq2diT1VbrakVRIdUimdkFEgNdxign1V3lJkZY2IgAg/9/qyEg8IgL0a1lKCAt0v/Ng0NBEAADw8/OzOhAI6gmYWvqMlJQUAKCoAqcu35NKJ/2KA8s2b6LRw/dhNfiGV8FxxroqqnISAABmC02iACD/u1Q28gwDdKN2JC1mq0O23zIAoLSqFoVC5f2bLVJyCgEAhtpKdG9XlZXofufBoKSqFgAgKTno/i1BUHfA1NJntLS0sFi25N8FgzC1AAAWTze79zb0km/gz+xCjz3LkcbOCk2KC3f8ZVleUjQkIa2NSMKyYQAA6fkl1EqOtLUjsf+/cLng8+HkvdefPPaZ6v1TDQypDtlZqOb66u1TS3tSooLmo9SjfmbllVQqSYsBANqIpOdfYqVFhdq/nanOg0Hy7wIslk1TU5PVgUBQT8DU0mc4ODjMTE2D4lIdJhuzOpYOGGorq8pJXHv+mYuTfa7VOKSR2UKT47SVP8X83OB2f8VMy9ziiku+H/l5uKrrGkA3akfSYrY6ZGd2O82Y73Jl2VHPPU62gnzcl3w/5pdWvjizFXlE4RUQtvPS433LZ7ksn9Vl58EmKD7VzNSUg2PQ3VyFoO6AqaUv2c+d53pwf0MTgXoRMKgsnGp68t5rO4sxfDxcSAuzhSa3Ok6NS8158SX2xZdYaVGhhVNNAAAXfT8irzKuHdkfrA11bh9cs9n9odPhGwAAAV7uM5sWUCdFUigUEplMLXbHuPOg0tBE+BCZdPI0XCYAGqpglcm+hMPhZGVk9i+33bZwOqtjYQKzhSarautLqmr1VGQ7zBmMa0f2ByKJ/CMzn0ymjNNWwqC7mAXMVGdWufI08MzD90XFxUJCsF4ZNCTB1NLHjh49evG8e8Kjk3Sz8yComypw+DFLXXfs2n306FFWxwJBPQRTSx9ramrS0tSw1FW8sW8Fq2OBhqRNZx+EpeSnZ2Ryc3OzOhYI6qFBekNg6OLm5r50+YpPYKRvYBSrY4GGHt/AKJ/AyEuXr8C8Ag1pMLX0vblz57q4uGw5/yjsRwarY4GGkuhfWdsueu/fv3/u3LmsjgWCegXeEOsXZDLZ0cEh+GvQkxObzEapdf0GaMSL+pm1yPWG9aQpz1+8QA/W8QUQ1E3wX3C/QKPR3o8fW0+aYrfrIrwzBnXJNzDKbtcF60lTvB8/hnkFGgYwcBRKP8FisQ6Ojs0Ewv6z1wrLawx1lHm44PQ3iF4FDr/n6pMzD9/u3bvP89YtLBbL6oggqA/AG2L9zt/ff/u2rbW4mj1OM1bbWQ3O2ZTQwGtoItx7G+ru/UFIWPjylav29vasjgiC+gxMLQOhqanJ3d39nLs7Bg1mmI+eYqijr64gIyYE08xIU9/YXFyJ+5n1Jyg+9UNkEokM9uzdu3fvXjgeDBpmYGoZODgc7tGjR6/9/SIiI4lEEqvDgViGjQ0z3tzcfu68pUuXwvn20LAEUwsLtLS0pKWllZeX19fXszoWAACoq6vbv3+/lpbWli1bWB1LH8vOzj548ODq1aunTp3K6lgAAICPj09CQkJbWxuuOwkNb3B5Shbg4OAwMDBgdRT/aW1tnTp1Kh8fn5+fn6ioKKvD6XttbW3Hjx+3t7efMWMGq2OBoJECXrWMdGvXrn327Fl0dLSOjg6rY+kXFApl6dKlAQEBUVFRw3UfIWiwgallRHN3dz9w4MDr1+0EQAAAACAASURBVK9nzpzJ6lj6EYFAsLa2Lisri42NFRMTY3U4EDT8wdQycgUGBs6cOfP8+fPbt29ndSz9rry83MjISEFBISgoCD7ngKD+BlPLCJWenm5qampvb+/l5cXqWAZIWlqamZkZs7uckZERGRnZ4Us8PDwLFy5k/PYPHz7g8fguu0HQMANTy0hUXV1tbGwsJSX15cuXEfUV/uPHj7NmzTp79uyuXbu6+ZZbt25t2LChw5fk5OT+/PnD+O1WVlY5OTmFhYXMBQpBQxwcITbitLW1OTg4kEikV69ejai8AgCwsbFxc3Pbu3evqqrq7Nmzu//GHTt22NnZ0TVycsIZrxDUMZhaRpzNmzd///49MjJSXLzj+sTD2+7du7Ozs52cnCIiIvT19bv5LnV1dSsrq/6MC4KGFbjG6shy6dKlu3fvPn78WE9Pj9WxsIyHh4eRkZGtrW1xcXGfbDA0NNTZ2VldXV1OTm7RokWenp4kUgerLRAIhCNHjqioqHBwcKipqa1fv55uzmxtbe2mTZt0dXUlJSXnzp374cOHPgkPggYeTC0jyOfPn/fu3evm5tb+3s6IgsViX7x4wc3NPWfOnKampl5uLSQkZPLkyU+fPp02bdqaNWsKCws3bty4f//+9j03bdp06tQpS0vLc+fOzZgxw9vbe9q0adRXi4qKDAwMHj16ZGlpuXLlyvz8/FmzZl2+fLmX4UEQa1CgkSE9PV1QUHDZsmWsDmSwyMjIEBIScnBwIJPJDLp5enoCAPT19ef8a/78+UiHtWvXcnBw4HA45Nfm5mYpKSlNTU3k1wkTJsjKylIoFAKBgMVi7ezsqFu+cuUKACAzMxP5dcmSJQCAmJgY5NeWlhZra2t2dvbq6uo+3W8IGghwhFhvBQUFMR4mNG/ePEFBwQGLp0M1NTUmJiZiYmLBwcEj7dE9A0FBQTNmzDh8+LCrq2tnfZARYnx8fFxcXLTtWCy2qKgIAJCRkdHW1ka9wYjH401MTOrq6pC7bdQRYk1NTYKCglxcXKGhocgyP2Qyubm5mZOTE4PB1NTUiIqKjhs3Li4ujvoRT58+XbRo0Z07d9asWdMfuw9B/Qc+xu8tDw+PgIAABh1MTU1Zm1qIRKKjo2Nra6ufnx/MK7SmTJni6em5du1aVVXVRYsWMejp7u7e2RBkTU3N6urqCxcuREdH5+fnZ2Vl4fF4aWlpum7c3NxHjhw5dOjQmDFjtLS0Jk6cOGPGjGnTpmEwGPD/a5eGhoYFCxZQ34LH4wEAOTk5vd1PCBpw8FlLb128eDH+/3x8fAAAU6dOjaehrKzM2gi3bt0aFRX16tUrCQkJ1kYyCK1evdrZ2XnVqlWxsbE928K5c+dkZWVPnDjR1tY2efLkBw8emJubd9jz4MGD2dnZrq6u3Nzcnp6eM2fO1NHRKSsrAwBUV1cDADg4OLA0RERElixZAtc9g4YkVt+RG1aSkpIAAAsXLmR1IH95eHigUKhnz56xOpDBi0gkzpw5U1JS8s+fP+1fRZ613Lx5s8P3VlRUoNFoCQkJPB5PbRw7dqy0tDTyM/VZS0tLCw6HIxKJSHtpaenmzZsBAAcOHKBQKKmpqQAABwcHusBwOFxLS0tf7CUEDSh41TIQtm7dunr16qKiImdnZ2R5xGXLljk5OdH2cXNzs7CwIBKJ1JbeD0X98uXLjh07Tp486ejo2Pu9GK4wGIyvr6+oqKidnV1jYyNT7y0oKCCTyXPnzuXj40NaCgsLkW8YdIKDg4WEhJ48eYL8KikpuWfPHgAADocDAKiqqoqJiX369KmtrY36ljNnzggJCdE+fYGgIYPVuW1Y6eyqZcKECRoaGqNGjQIAjBkzhkKhaGtrUwcRIVatWgUAoH5FLSwsVFRU5OHh2bhxo4uLi4GBARqNvnTpUveDycnJERUV7XIEFITIy8sTFxe3tbWlXlggGF+14PF4Xl5eYWHht2/f/v7928vLS1ZWVkhIiJ+fPyMjg0Jz1YLH48XFxdXU1EJCQmpra79//25vbw8AePfuHbKpu3fvAgAcHR0TEhKysrLOnz/PwcExZcoU+NcHDUUwtfQlBqkFADBt2rT09HSkpcvU0suhqHV1dTo6OmPHjm1sbOzVLo0kERERHBwcLi4utI2MUwuFQnn+/DkvLy/yRU1YWPjhw4cvX77k4eFhY2Oj0KQWCoUSFBRE+3ifk5Pz1KlTtJu6evUqdfEYNja2DRs2wJHH0BAFU0tfYpxa4uLiqC2MU0t1dTUKhTI0NKTtgNxLuXPnTpdhEInEGTNmSEtLFxUV9XxnRqSHDx8CAG7fvs3Uu6qqqoKCglJSUqhXGFVVVVlZWe17NjY2RkdHP3v27OvXr+Xl5e074PH4b9++vX//vsMHPxA0VMDBxwNETEzM0NCwm517ORR1x44dISEh3759k5GR6Vm0I9ayZcvS0tKcnZ3V1NS6v2iYiIjI5MmT6VpERETa9+Tm5jYxMTExMelsU3x8fJaWlsyEDEGDEUwtA6TLCSU1NTXUn2mHolIbuzkU1cvL69q1a76+vt3PZBCt06dPZ2Zmzp8/PyYmRlVVldXhQNCQBFMLa6BQKDKZTNuSmZlJ/RmZCqOmpvb48WNqI4lEqq+v5+bmZrDZ8PDwDRs2HDlyBNae6jE0Gu3r6zthwgQ7O7uoqCiWr6QAQUMRHHzMGoqKivn5+dSRpqmpqdnZ2dRXezYUNT8/f968eTNnzjx8+HD/RT4ScHFxvX79ur6+fuHChbTDwSEI6iaYWljD2Ni4tbV1xYoVoaGhd+/enTNnjoCAAPVVdnb2M2fO4PF4JyenxMTE7OzsCxcunDx5csqUKZ3N9K6vr581a5asrOyjR49QKNRA7cewJS0t/ebNm/Dw8J07d7I6Fggaglg9jmBYYTBCjDoCFdHY2GhjY4P8FcjIyLi4uLi4uACawccUZoaikkgkBvPJoR57+fIlCoW6fv06qwOBoCEGrnzMSpWVlcXFxfr6+p1dZ9TX1//48aOhoUFPT09OTq6z7ezatevGjRshISEMhh5BPXP8+PHjx4+/fft2xowZrI4FgoYMmFqGvIcPH65cudLb2xuZZQn1LQqFsnTp0oCAgKioKLhSJAR1E0wtQ1tkZOSkSZN279598uRJVscybBEIBGtr67KystjYWGQJOAiCGIOpZQgrKCgwMjIyMzN79eoVGg1HZPSj8vJyIyMjBQWFoKAgWPMGgroEU8tQ1dDQYG5ujkKhIiIiqGtYQf0nLS3NzMzM3t7ey8uL1bFA0GAHv+oOSWQy2cnJqaSkxM/PD+aVgaGtrf3kyRNvb+8LFy6wOhYIGuxgahmSDhw48PHjx5cvX7K8hOWIYmNj4+bmtnfv3jdv3rA6Fgga1OANsaHH29t72bJld+7cWbNmDatjGYk2bNjg4+MTERGhr69Pbfz+/Xt2djZcXweCEDC1DDHfv3+3tLTcsmXL2bNnWR3LCNXW1jZ9+vTMzMzY2FhkbemXL186OTmpqan9+vWL1dFB0KAAU8tQUlJSYmRkpKen9+7dOwwGw+pwRq6amhoTExMBAYHQ0NDLly+7uroCACgUSlJSEu2lDASNWDC1DBnNzc0TJkxoaGiIjo6mXXAMYomMjAxTU1MREZHc3FzkPxEWi3V2dr506RKrQ4Mg1oOP8YcGCoWycuXK3NzcgIAAmFcGAzExMRkZmfz8fOqXs7a2Ni8vr5aWFtYGBkGDAUwtQ8Phw4f9/PxevHihoqLC6lggkJKSoq+v//v3bxKJRNuOx+M/fPjAqqggaPCAqWUIePny5alTp65duzZx4kRWxwKBDx8+GBsbl5eX01bTQWAwmDt37rAkKggaVOCzlsHFz89v/Pjx4uLi1JbExEQLC4v169dfvHiRhYFBiLq6OktLy58/f3bWAYPBFBUVSUpKDmRUEDTYwKuWQYRCoezcudPAwIB65iotLZ09e/b48ePd3d1ZGxuEEBAQSEhIuHz5Mg8PDxaLbd8BhULRlp2GoJEJXrUMIhERERYWFmg0mp2d/enTp1OnTrWyssLj8dHR0bBC+2BTXV199OjR69evYzAYuiLHysrKOTk5rAoMggYDeNUyiDx48ACLxZLJ5JaWFnt7e1tb2+zs7ICAAJhXBiEREREPD4+4uLjRo0ej0WjaYm65ublxcXEsjA2CWA6mlsGiubn52bNnyJNhpALot2/fDA0Nkfne0OA0bty42NhYLy8vQUFB6v0xdnb2+/fvszYwCGItmFoGC39//8bGRtoWMpn89etXCwuL0tJSVkUFdQmNRi9btiw7O3vVqlVoNBqLxba2tvr4+DQ3N7M6NAhiGZhaBov79++3X7uFSCT+/PnTwMAgMTGRJVFB3SQsLOzp6RkfH29gYAAAaGho8Pf3Z3VQEMQy8DH+oFBcXCwvL08mkzvrYGBgEBkZycXFNZBRDUKxsbHv3r2LjopKS0vF4WoJcOo7RIOTg0NISFBHR9fE1HTmzJnGxsasjmjkgqllUHBzc3N1daUbaAQAwGKxaDTaxcVl//79I7luLoVC8fHxcTtzOjUtXVFG0nKMlraKvIggHyd7B8N/B4OW1raPEYkTDXUF+HhYHcsIQmhtq66tT8v5E5aYnl9cpqOt5bL/wJIlS2gHWUADA6aWQUFNTS07O5u2BY1Gk8lkGxubGzduKCoqsiiuQSEhIWHrli2xcbGLbCzXO0w30ITVz6Cu/cjIvfUi8MnHMGMj46seHmPHjmV1RCMLfNbCenFxcXR5BYPByMrKvn///sOHDyM8r7i5uRkZGaFb8OEP3DxdN8G8AnWTgaayp+um8Adu6Ba8kZGRm5sbqyMaWdhYHQAEHj58iMVikWHHWCwWhULt37/fxcWFk5OT1aGxUmtr6/r16729H53dvnyD43R4TwPqgVHqih9vHPZ8Huhy6GBmZsatW7fZ2dlZHdSIAG+IsVhra6uYmBgej0fugE2fPv3mzZsj/EoFAEAikexmzYoID3twYutUMwNWhwMNeZ+jfqxwvTrewvJtQAAsozcA4A0xFnv79i0ejwcAyMrKfvjw4ePHjzCvAAB27NgRGhoS4HFoaOUVHL7h4dvgh2+DCa30iyLnFpU9fBv8Pvz7QMbT2Ezow62RyUP4a+hUM4MAj0OhoSE7duxgdSwjQk+uWsrLy0NDQ5OTk8vLy+vr6/sjrJEjIiKivLxcW1tbQ0MDjR4UmR6NRgsKCiorK48ZM2b8+PEDf1/O09PT2dn50antc6xNBvije89h19mPEQnblsw6tXUptZFIIk1YeSA5M+/puT0zLQ37O4akzLwj130T0rJr6xvFhQVmWhqe2rqUj+e/ketkMsVs6V7iv5VmFKTEXl3a3+HWsv+U3noZ+P7b97rGJtNRGpsX2VoZ6vX3LvST18Exyw5evn79+oYNG1gdyzDHRGohEolPnz71vHEtOjYOg0KpSvBJ8rLxDNLBn0NDC5H8q7RRW4KHm31QJBUEhQJqWyj5uJbimkYeLq658+Zt3bZt3LhxA/PpJSUlGurqzgumu65fMDCf2LfKq2uNFu/C4RuCbp8w1lNHGt3uvTp5+9nSmRNvum7s7wAS03Nmbj7BhsHMn2ImLMD7Migq+0/pWG2VkHun0WgUAKCwrEpr9iYdFXkhAV7qu2QlRO4e3dJ+a80trWZL95ZU1CyYNl5YgO91SExxefXrKwfNDbT6e0f6yYlbz64/C8z8/VtaWprVsQxn3U0toaGhWzZvysz4PV1LeN4okfHKAlzYQXQ2HKLaSBQsZvA+nS7FtwZl4nyTqlOK8UsWLzrrfm4A/jc6OS2J+hYc/+TCoJ2z0qU3IbFLXC6oKUhHPz7HyY5Nyykcv3yfpIhQrO956qVD/1l//PqLz5Gh90+PUldEWmZuPhEa/8v79A77SaYAgG/fU2ydj0c/PqenptDl1lwuP7z25L3fpf3IncmKmjqTJbu5OTlS/K/15070o5bWNuMle0wsJ3p7w9oH/ajr9NDQ0LB40cKJEydKkSpDnEd5OqhO0RCCeaVPDOa8AgCQ4mdfZigRuFb7zgL18E9vNdRUPT09+/UT4+PjfX2fnNriNHTzCgBg9kTjhTYWWQUlxz2fEkmk9cevtxFJt45s6tu8UlFTd/vlp4Q0+tX7Y37+HqWuSM0rAIClM60AAN9T/xvgnl1YikKhVOWluvMpj9+F6qoqUJ94iQsLTDYZnV9SEZ+a1es9YA0Oduxx58U+Pr7x8fGsjmU462LwcWFh4ayZM4rzsr2dNK3VhAYmJmiwsdEStlYTvBpWvGnTprS01EuXLvfTGBsPDw99TWU7K6P+2PhAurBrVXhC2rUn70oqan5k5G5eZGsxRqdPtlxdW/86JMbvS3REYhqJTPZ12zVWW4X6ahuRNNlEf5yOKu1bisqrAQDU21+5hWVyEqKNTYTQ+F8VNXWaijLjdNUwHT3nq66tr61vXDrrn7LZSE76kZ5rqKPWJ3s08OysjPQ1lK9d83j48BGrYxm2GKWW1NTUKZOsBdCEd2u05QRH7iojEACAgw29x1pOW5J72y3PnKws/zdv+3x+AIFA8Hv16tTmxX27WZYQ4OPxdN1kt/Xky6BITSXZo5t6u1O19Y1vQmL9vkR/+55CJJH01BT2rpxrO8FwtIYSbTcsG+bC7lW0LZW4utsvP2HZMDbj/5uOnltUhm9s0p7j3ET4bwU2A03lu8e2aCjSl2/IKigBAEiK/vOdUl1BGgBQWVPXyz1irRV2Ew9e8719+85IXj+pX3WaWioqKmxnTJfjan20WJOPAw4DhwAAwFZbREaAY6F3yPp1a70ePOzbjYeHhzc2NdlYDJMFOZRkJbg42JsILapyUh3e3wv4Fv8qKCq3qMx4lPrOZXOkRDu+K1BRU7fxxI3guJ8UCjA30DqzbZnthHHykmLdieFjRMKmk55VtXj3HSt0VOSRxpyisoYmwpGNC+2sjKpweJ/33x6+DXbc7R7l7c7D9c95NqeoDAAgxM9L2ygnKQYAqG34pwDEkGNjMXa7+93w8PDJkyezOpbhqeNHJgQCYY7dLEoj7q6jaod55Xdl89Ww4ouhRR2+/VNGTUBKdY9jSi9vuhtTWtdMv1Yj1DNMzUbosvNoGV7P+SqPHz/u85UzEhISZCXFZMRF+nazLEEmU9YevdZEaNFUkn0XFv/kYxhdh09RPxbtPSfAy73QxiImOXOm8/Gauo7H8Vfi6j5F/aBQwHqH6Wd3LN+4wKY7eSWvqNxx91mHXWf5eLjeXj20cYEN9aVbh52jvN13LJ2tIidlPErj6v51WxbPzCksfRsaS7cRDnY2AAAO30Db2EQgAACE+HjBUCYjLiIjIQZrVfSfjq9ajh07lvYr+e1qLZGOBhdXNbbZ3PpJaCNriHPvtJJt3+HKt2Jcc9ss3R6eI+IK8Ec+5k9QERTgguvQ9FxuNeFBXNmnjBo8gWQoz7fOVGq8skCfdLZSFTw8Vf7gwQNTpkzpw1X/8vPzVeS69Wx58Lvo/To6OWPlnEn7Vs0ft3DnrvP3LcboyEr89z+itY3ofMpzzbypl/euAQA4Th2vY+98z//LnhX27TeloSjz6tJ+vy9R3u9Crj99rygtPnOC4awJRib6Gh0+IAEAPP0Yvu3sHRQKdXKL00ZHG45/r5nar8M2zdzg8uO3aTmFdO0SIoIAgLzictpGXF0DAEBUiL/7R2NwUpWXysvLY3UUw1YH/zRzcnIuXbywd6K0qmjHA1ri/9QT2sj7J8sHO+t32GGlseQmc1h2l5UIbeQVvhlPEyusVAWXG0rkVTcv982IKcD3vjNitYmUsaLgFueNfbhQUF1dnQDPcFg2LTkz79Tt5/KSYme2LZOVEDm11Qnf0LTx5A3qscopLC2rwi2ysUR+FRXiV1eQ+RDW8UR9NgxmmpnBrcPO+YF3n53fazxK48Gb4GkbjijbrN1w4gbdeR8A8DEiYe2xa7pqCvFPLmx3sqPLK0Xl1W9CYgvLqmgb84orAABi7bKFqrw0CoXK//cjfmUVAADoRgoMRQI8nLW1tayOYtjqILXs2L5NSYTLaZxEZ+9BblXpSXdaiMJhtNhSw07fDg0At69/cqqaPR3Vz85Sdpks77dKl48Ds8M/u/edqY5Nk4uLT/Dx8emrmEkk0jBY3InQ2rbq8FUiiXzTdSMvNxcAYNWcyZZjdULift1++Qnpgzwe16R5bK6mIF1YXtXhBqnYsWy2FuPuHduS/+mur9suK0M9/6/RP3/n03U7euMJPy+3z5mdcpKi7TeCwzcscblwzsuPtvFVUBQAwGw0/SxIKVEhcwOtyB/peUX/ZZc2IunZpwhpMeFhsAQ1BoMh/bskAdSH6O84paamBrx77+2kyYbueMrF6aA/X3/jAADuXwv9f1Zdtld1/ZDX1EbePVHOI7w4IKXq1z5D1w95Da2kS3P+fq/BE4hnvvyJLaivaWobJ8e3eKw47VDmpOKGGxElv0ob5IU4p2sK0y5xu+dtTiuJsmOC7LXw4tDsWiURroUGYvP0xW5Hlfr9rCzBt46S4jkxQ0lJ5O+33eh8fEBqdVhOLaGNbKTAb6rAv3isOAaNQrbGjkFvtZQ5/qkg/k89Gxplosh/coZSNyfDMxtMC5HsEV7sl1xVgm+REeAYryzgOlWB9//Prhgfk156nlSpJcFtrSaI/CrGi52gKvgyqfJHUYOBLP1dcqY6U+lI8szTF3U7fcrJyamvwh4GXK89zswvXjd/2oRxukgLCoW6fnCD8eLdrtd8Jhnrq8pLZReWodEofl5u6rsUpcXffet4mkUVDv8oIKR9u766kpq8FN3wrdr6xrTcQn11xau+7+j6W4zRthk/VldV3lhP3evNV2EBPruJRmQy5Wlg+NfY5NkTjZELkfuvv+w4e9dlzfz9q+cDAPassJ+3w23pgYt7V84V5Oe9+Oh1fkn5ywsucCFqiDH61HL//n0lMd6Jqp2e4yT4sMgDGGl+dllBDgBAenlTRUPb0sfp6eVNelI8AICEwgZc89/l+Urxrfb3Uqqb2ubri/FzsoVm1y73yTg8TXGtqRQAIDofv/RxOgcbeoa2MBqFcg8uFOD8+9U1tbSpFN8SnlMnwIkxVxJ4k1IVnV/3+ldVWE6dtZqgrCDHl9+4BQ/TYnaMQVJhVF7dwkfpfBwY+1GiwtzYsJxal3e5BTjCoakKyNZqmtoCM2rkBTlm64n8KGp49qOinkC8s1CjOweL2WD2v8t7mVw5T19UV1KyANfik1CeXt70do1ul8ekl2qaiHXNxAUG/zzsVRHhAgAkl9BnC6Y601lhJDHj1q+4uDgjoyE/E6VPBMf99HweqCQrcWLzP+lWSUbiyMaF+y49XHv02pe7J7BsGDKZ0tBEoE6iJLS2KctKdrjN8praw9c7vTTUU1Ok/TU6OYNCoSRl5iVl0j9FQAFgM34sCoV6em6P8ynP8w/9zz/0R15aM2/qmW3LkJ8pFAqJTKbeu5tkrH/32GbnU56LXS4AAAT4eNy2Lx9aa4ZCLEGfWgLe+M/QEGDwjWS1iRQPOyYyr26tmbSRPB/SmFPVbKUq6Omo3uHjmdNBBYW1Le/W6iHnqd0T5ZZ4p58KKnAYLSbIxXb4Yz47Gzpwwyhk6swGM+kpN5Np317R0LZvkvxWSxkAwGw90aWP06Py8SGbRyuLcAIAtvtnv0iqzK8hIL++/lWNQaOitxvwc7IBAJzHS5tc/hGUiUNSCwCgsLbFebzM/snyKBQgU8CMWz/D85gYod/9YFqJ5Fc/KyepCVKv3hSEOA5/zM+tJiiLcDI+JrSfWNNEfBhX1lk8M7SFNcS56RpzqpoBABK8/8w7URHlBABUNdKvyMtUZzr60rxyIrwBAQEwtSCsjUbVxzzr8CXnhbbOC22Rn6mPx6lz5qtweF01+Q7fqKMi3xD7vJsB2Iwf22VnMSGB5+f3/SmrzCooEeDl0VSSQW7cIVbbT1ltP4W2//wp5nOsTRLTcylkcmeTKyGIzj9nserq6qycvCNmPVl4bo+1XId5pbaZ6P+rarQML/X7LxaDWjJWPDKv7kNajaYEV1pZ41ZLGeqUTCURznn6Yo+//31yiEGjNpr/t3SVjiQ3AMBcSUD5/zedzBQFXiRV/q5sQlrWmUmtMpZE8goAoJVEEeDE4Al/76hyYtG7JsoiuRONAobyfL9KG0vxrVL83ZoA2P1gSBQAAIjOx6eUNupK8QAAVhpLLRojwcGGYnxMFo8Vp/3E6sa28yH0Q3eolEU426eW/BoCAIAuRckIcAAAaA9FDzq3ZybPHR0V2WU3iJbZaC0UCpWUmYekFjKZEhr/a9PCGQMZg7ykWDcnxwAA2DAYI92hOvceYol/Tijp6ekAAM12p6ouifBgR8t0fOckp6qZQgGNraQNL35TGxsIJABAAY6APNFBzrxUdOdKCT4sda0tDjY0AECS728aQL5CtRH/u35XFeXCNRFvRZUkFDYU1hLyqgn1LSQJmv6iPFhkIwhkfHNja3ef5nU/GC4sepeV3Nmvf6Z5/lQT4zJTEpikJjhBVRCDRjE+JnSfqCrKlXPIuLN4OlyFjB2DAgDU/jsxqLmNDACgvdnYg87taYpz30lO7bIbREtWQmS6+ZgTnk9HayipyEmdvf+yvql5GCxvA0FU9FctAAARbqZnk7B3vswirpkIAGDHoLE04wKEuNnmjhJVF+OqbiQCAND/3oDjYPvnV24s/QmOwf26m5El54IL2dlQpgr8FsqCWy15b0WV/MG1UDtwsnVwOd/9AbRMBbPVUma2rsjzpMrgLJx3fNnDuDJlEc5Xq3QZH5P22+dkcjFQcT520C5LIR/afqISU53bE+Zhq67BMRUeBAC4d2yL/fbTZkv3otEoQT7e+8e3dvasBYKGon+ySEtLCwCAvaOTb4/JC3ECAJREOD3m/b2gJpEpja0kLizmy28cACAmH2+jJUx96L+uoAAAIABJREFUtai2pf12uqO6se10UIEIDzZiqwF1INbVsI6XDOhvbSRKcxtJVpBjj7XcHmu5ioa2q2FFXrFlXrGl9qPEQOfHhG47FQ1tl791ugsLDcRHtRsFrizCiUIB2oQKAEgrawQAtH8sz1Tn9jgw6JZ2FRX7W0ZeUcC3+DYi8cAah/avvguLb20lzp1s2rONp2QXhCWkLp4xQZCv0+H1vcfPy/317sk/ZZXVtfX66kroTgZkDnVkMoWpXWtsJvBwdTq3ifGr0KDS79PdlYQ5RXiw37JriSQK2/8vbq6FF7sHF/qv1tWX5mXDoCJoHqQTyRT/n10M8O9MUV0LmQJstISpeaWkrjW1rEmUFQXLIvLqnLzTr85VnacvBgAQ58VuNJf2ii2rbSYyPibUwREIPIHom0A/LY7KVIG/fWqR4GM3UeCPKcAX1BAUhDkBAEQSxf9nlSQ/+ygp+mzBVOfBoBJXZ7HcpbmlVUtZrsPU4n7fr6auvsepJTopY+/FB5OM9fs1tSCYeuAxhDBbmJJxWUwGr4bG/9p9wavDbRpoKt85urnPdw3qpn5PLVgMav9k+d1vcjb7ZTmPl+HjwHzKqLkcVmypImAox4dCgZVGkneiS3e9yVlhJIkC4GJoEb6lh/OYVES4eNgxb1OqrdWEVEW54v/Uuwf/4eXANLWScqqaVTpZXKCfGMrxifJgL30rkhbg0JXkyashINdPk9WFGB8Tuu2oinLlH2a6ju8WS5lljzPWP/+9dYKsICfmekTJHxzh4RIt5Pbd4+/lB97n7Zggu8NKtsvOg010cmZzS+uxTYt3LZ/TYYf1DtObW1oHOCqIqrml1WH3WdrClA67zjIoTEkti+k4bTxSFvP+6y/Jv/OQspiMX0WhUFg2+gt9QmtbVkGJ6nBZNGiIGohFuhaNEW9uI5/8XICsWcmGRi0aK+4ySR45cx2YLN/USvZJKH+aWAEAGK8scMJGcatfF1PBO8TLgbk4R2Xn65wVvhkAAEEutmPTFbnY0dv9s62vJxccGdBC67wcmGvz1bb5Zc/3+u8pNwcbet8k+UnqQqCrY9J7E1QEr85V3f02Z+3TTAAAPyfbkemK1EmRAAAS+e8Dpi47Dyq19Y0AgNGaSp11WGI7YQDDgegdu/kkq6CEWphy08IZJkt2rz9+vbPClLdeBBJaWqllMQ+tW4CUxXwTEmM/yZTxqxPG6UY/Pke3wV3n79c3Nl9xWduvuwkx9k8B4+fPny9YsKD4WA/vJDDW0EJKKWtsaiVpivNIC9CP9C2pa82oaFQV5ZYX6m35BFwTMaWsUZwXqy7GjZypcU3EOgJRUZgFd2mb28jp5Y3Fta3CPGwa4tx0t+YYH5PeI5IpP0sayBRgIMOL6eqWN1OdqQJSqje8+N0nK4k5OjoSa4q8T+9g0OfwdZ/AyMS0nMKx2iqaSrK3DjvvvuDV1Ew4uM7x/MPXfl+iCj7d233Bq6Gp2dN1E/KWuvrGIzefRP5Ir67Fm4zSWD570rR/Z/wlpOVc8n6TlJGrKCMxa4IhCoXaee5ewrNLGooym0/fam0juqyed+Hh6y8xySpykstmWS+0sfDwffcsMLyootpAU/n8rpW0q2qGJ6b6fY0Jjv1JaGk11dccP0Z75ZxJyFyQzadvsWPZ9qyce+DKo5ifmWwYzHgD7fO7V9EtZd8ZpoIhtLZdeOD/NDC8uKJaVkLUapzu6W1LaeevdHlYekx28kpZCdEYn79n/HXHrvt++BZy/1SH1cP0528T4ucJvX+a2vIsMHz1EY9tS2ad2rqU8avttxYUnTRv55kAD1fqagidWXrgEpuw7PPn3Z0zBDFl4JYW5uXAmCh0ulqqtAB7X51bhbjZLP5dtVeIm02oG8Pe9r/LZfDqfH2xse3uVnWJC4seI8s3poPloQHo6pj0HhsaNUa2uzEz1ZlVpESFxYQEACiUkRBFnlKkZBeUV9fO2+GWkl2A1MWK+/WbukB9cUX11HWHq2rxi2ZMEODl/hKT7LDL7cy2ZdTZi+GJqfN2uHGwY2dPNEajUMdvPROkWX/l5+/84orqkLifAnw8lmN1Xn2JCk9Me/45Ijj25zQzA3kpscDIxJmbT6T6X0ceVoclpM7afIKfl9tx2ngRQb7guJ/bz97JLy4/ucUJ2Vp1Lf7dt3gFafH5U8zjU7O834XUNTb5uu3qzr4zFcyOs3d9P3xbNMNSX10pt7jsweuvqTl/vt492c3D0mPMFqZkXBazO0UzadXU1W88eXPeZLMu8wrU3+Cq9X+ZK3W6jDz4/yBdiLU2LrDh4eb89j1lyyJbU31NpDGroGSyif6jU9vV29VJPHzdt6C0kvp9+eBaR/vtp12v+SyeMQGpcLX34gN2LFvEo7MKUmIAgG1Os0yd9tJuoby69vCGhXtXzgUAOEw1n7vjTHhC6venF5HT5frj133ef8stKkN+ffE5go0Nk+LnIcDHAwDYuWyOrv3mDxEJSGoBABSUVu5cNvvYpsUoFIpMpliucAmN/9X93e9mMHKSok8Dw6abj6FeuinLSO656JX9pxTp2eVhoaqurb/96lNn8cyZaKylLEfbwmxhSsZlMbtTNJPWjnP36uobjzsv6SxgaMDA1PLXTJ3hUIRqZHJdv7B9XsHhG55/ihirrUL9ssyOZVs5Z9K37ylvQmJXzJ4Ul5L1K6tg78q5SF4BAKjISS2ysbznH0TdCAaN3u5kh/ysp64IAJgwThc5QQMALMbo+Lz/lp5XhLRsWTRzg6ONwP+HlrW1EQV4ufENTdStcXGwH1jriKztiEajTPQ1kzLziiuqu1kArZvBSIsLAwDCElOTM/P0NZQAAOsdpi+zs+bkwHbnsNB+YlUt/tTtTm8ZqclL0aWWXham7LAsZjdfTc8t9PsSvWeFfYdLPkMDDKYWaMgTFeIfq63Svv13QQmFQmloIiw7eInaWN/YDP5f3up3fjEAgLqQF0JL+Z/bl1JiQuzY//6bIHWIpcT+fiXHYNAAgLa2/9YyUFeUqamrv+oTEPvr95/SyuzC0vrGZtrKxGJCArTFjIX4eAAAjU30SzB0ppvBcHNy7F/jcNzzqfmyfRqKMpbjdKeZGUw20Uce+XR5WGipK0hXhj3uLB5qMFQ9LkyZV1S+7/KDD+EJyrKS949vnWik1/1XEZe837Jj2bYsnsngU6ABA1MLNORxYDuet4Q8ceFgx2LZ/v47FxbgWzDdQktJDvz/DIj+d71FDvZ/7nxyt5ujh0Z1Oqf48uO3J289Y2fHWhhoTzTS27Ny7lXfgILiCmoHTs4Obqt2fwhE94PZu3KuwxRznw+hnyJ/3PP7fOflJ1V5qU+exyREBLs8LLRQKBQXBxO3gntWmJJxWUzGryIKy6qef4qYbW1Md8EEsQpMLYwEZ+HqCaTZevD6ekhSkpEAAKjISd07toXaSCKTGxqbuTg5AAAK0uIAgIjENNr1u/6UVrTbUrdU4fCHr/uICvL/fHWVOhaLrujWwGhtIzYTWuSlxQ6tW3Bo3YLy6lp3L79bLwI9n388snFRl4eFVnl1rdv9V5190LJZE+lqgvWgMCVSFtNIT/3BiW3t72UxfpXK6/UXIom03M66sw7QAIPrYzNyI6LkxOcCVkfxD/MrP/a8zWF1FEODsqykqBD/l5ikNuLfSbjnH/jLTF6ZkJYNABijpYJlw3z7nkJ9lUgiPf8U0bOP+1NWSSZT7CYaU/NKUXl1+yqQA+Db9xSZyStffPpvRWoJEUHkCQ2uvhF047DQqqtvfPjma2d/qNUnqXpQmJJxWUzGr1J9jU0W4ue1Gsdozj80kOBVy1Dy/Edlfg3BTKkfxysPJ+xYtmObFjuf8lx95OrOZXP4ebjefYt39/KzNhplMkoDACArIbJu/vTrT99vOnlzncN0FABn7r6so3nqzhR1BWkeLs5XQVFTTQ00FKWjkzNP3HrGx8PV0EzIKihRU5Du051jxFRfQ0xI4My9lzISwvrqSjlFZcjF03TzMaAbh+WfnVKUqYnwZerTuyxMSVvIknFZTFN9TcZFM5Gfa+sbf2Tkzhg/brguxTYUwdQyBJTiWy+GFiYVNyKrRkLdt9zOupnQcsjjsd+XaAAAGwazYrb1kY2LqKe5486LmwgEr9dfkSLBVoZ653etWnPUowefxcvN5em6ccOJm467zwIAhPh5z+5YzsPFue7YNcNFu2qjnvTdbnUdyf3jW9cdu2az8RjSwsmOPbJxEZJaQDcOS290WZiStpAl47KYSGcGRTORn8O+p5DJFCM99d4HD/WVgZuNzxTGVeWj8/EBqdVhObWENrKRAr+pAv/iseLIBHJmy9dvePFbW4LHTIn/bkxpZG6dKA92/mixjeYyyLef+V6p+TWE77v++xfMuJo945h7I6uy2SUgFwBAIJKT/sfeWcdF0XVx/Czd3d1SYouCKCoGKtgiCoqIiV2gPHaA+mBhBxiA8SgGiiiKSAgG0ko3SC3dW+8f47suCywsArvi/X74Q+6cuXN2XObMjXN+RfVLRsictO5gQxRL6Ods/J5R39iUkJZb39RsoKmiJNvBNt/CUnxKVv4gNUU1BZn2R5misqYuIS1XTkpMV10Je1JX1tRV1zX0f838xuaW5Mz8wpIKSTFhfU1laXH6tK0ub8vvQCSR2FyYEmXj9ylsOmphoCr/Iadm8e3vwrycc42kJAS4w7OqXZ9n51U1YxLFzMrXR2bXJBY3XIwqMlUTtRsp+z6z5lhIfg6++d/Z9M/uLtXsGfj8m2hL8z9yNACA3Mpm07Nxv9/h34aQAH9ntRExlGQle+vZKiEqTLc1VkJUWEK0izIHW05cZ3DU1nK8MfOv5AJ8vKMNtRmoQ3Z5W34HJEz5l8OOoYWxqvyTJDwnBy56yzBMpdh5nMKYM3EhaVVYaAFm5Osx+7zK5gPTf0aInZPA5ta3e3Fly0bJ0RWrZ6xmz9hn2n56oHWPGPBMGGHA4ChdcjsCwf6wY2hhoCoPAKtN5B2N5bC4AgCtJIooHyetinv35euxFhE+LqcxP0ceHDjYNF7xQ07N+6xq2tDSpZo9Y59p6YHWPWLAM3cy62ehEYhehB1DCwNVeQDQkuKvaiRe+VAcW1BfUN2cg2+uayHJ0hT46r58PQYms0hlkDQ/AORVtkmQ7lLNnrHPtPRA6x6BQCD+LNgxtEDnqvIyQtyXoopPhhbwcOHGqoqYaYhtGi905UMxrf4uU/L1ACAj1Ca5l5+HE/4fk6h0R82egc90zjCrdY9AtOfVh7i6hsYFU0xZ7QgC0QHsGFoYqMo7jZE/FpInKcgduWkYdfMVpt7YY3LbDlAKq1sAgE6SUkWcDxiq2TPw2WVymzp6PdC6RyDac/rO05zCUtaGFqQfjOgMdgwtDFTlC2tayBSw1JOgxpXimtaUkkY6iS2myMY35+CbqduR78eVwf8Xaah0qWbPwGe6y/VA6x6BYE+QfjCiM9gxtDBQldeU5Bfk4XyWjJ+kLa4lxf85v+5EaL4QL2djKymrooluqNFNSBSK493UXZNVNCT5Xn6vvBHzw8pQ0ritQleXavYMfKa7XM+07hEINgTpByM6gx1DC2NV+VNzNLc9yXLwTwUAMX6ug9PV+Hk4tjzOnHQhIW9/Tx7Z49RF5UR4Vt9PI1MAAMaqibjP7KDYEWM1e8Y+IwYMXQoDMxYwZkoOeZnb6cHaauOH61+4H/T+S7K0uOiSGRO22Fl3WM6EsSBxl273FiHR8dcevQr02ouVQEb8tbBpNj4wVJWvaiQmlzTICHHrSAtgT/aqRmJNM1FNgr7keJcYHv88VEHI116vpomYUNwgJ8JDXZbvEMZq9gx8Hqj8Edn4vci6w5fohIGNdNSowsDtBYxjEtK22FljKpPjHXYXleE5cDhRYcFhuhqP3nwgEElTxg7FFIg5OTmCo77KSopR5ZBVpq4UFRbAV9dNGGGgq6709mPi1+9Zy60nXXBbCwDT1x3IKSxNC7wEHQkSJ2Xk0goSM3a7t6isqRu9ZIfZcH2fw5t7t+e+AGXj9ynsOGrBYKAqLy7AZaYhStciLvBbn0WUn2u8JiMBYwzGavYMfEYMAFpaCYyFgbsUMGZKDhkAcgpLPbYs32A7EwD2rlk8a8Oh24HvnOZPpasizFiQuEu3qTArV0wH0g9GUGHf0IJAsBskMhk6FwaGbggYMyWHDACiwoLOi2dg/+bgwO10mBcem/L2YwJtaOlSkLhLt6kwK1dMC9IPRtDyt4cWWSEeib9g2grRKzAWBoZuCBgzJYcMAFrKcrTViDFxZTqVlC4Fibt0mwqzcsW0IP1gBC1/e2h56zyE1S4g/iQYCANDNwSMmZJDBgA5yTbbQAT5+QCATsG3O4LEjN2mwqxcMRWkH4yg428PLQhE92EsDNwXAsZZhW0qmeb9KAMAnbaqYl0KEjN2m7YrZuWKqSD9YAQdA7ziSGhG1dOkClZ7QQ+Zme1UFArUtMu7RLAExsLAfSFgnJn/I6vgB/XXO4FhAGCko0Zr06UgMWO3aWFWrpgK0g9G0DHARy0XI4tzK5tnD2aLdcVsfPPNTyWvUitrm0mjVIRXj5Ufp8FoT1pNE/FISF5AYkUzgSzEyzlRW+zYTA2J39sIh/gdGAsD94WAMYlMttl5ct/axdoq8k/ffbr0IGiexViToW1EVroUJGbsNi09kCsGpB+M6Aj0nOonmglkB//UktrWuUZS4vxcL77hl/un+tnrdbaVmUCi2PmmxhXVLR4mM0JZOL6o3vdL6Y+a1qe9oS2G6BmMhYH7QsDYfJShgrSE3W5PMpkCAGbDDc7scmpvxliQuEs9498E6Qcj2sO+KZO9Ap0CMQs5EJx7LfrHHTu9SdpiAFBeT5hyKYGfmyN6S8d/3n6xpbueZe+bprrG5Ofbrktgtu+X0qA1g4cosNFK6d+WMgldCQP3ooCxytSVI/Q1H5/ZU13X8PV7loK0hK46o5wpxoLEXeoZ/22glMk+hd1HLf8E5aT8aLiySEeGRnNl17Psgurm20v1MHWT6NzawBR8eFZ1M4E8WlVkrKrIkhEy7YVSNgdkkikU2tLF5yOK3qZX/bfCgOv/xrXNRPc3+R/z6iobCSOVhZeMkJmk3TuVWh7El+vJCmBxBQCkhbgnaIk9jC+PK6ynyovREpBQISXI7Wj8K6Nt03jFUSrCkgJoqzSLYSwM3DMBY8aICQtOGm3UpRljQeIu9YwRiF6E3Zfx1ST4PuXXBX2vpLaU1rXe/Voqxs+FxZUPOTU2t749Taow1xJbMkK2uKbF9Xm2+5v89l0lFtcnFrdZt8ypbP6UX0d94f5R2zr1UuLDhHJjVWGbYTIF1S3L/VKvRf9o3xWzVDYSa5qIZm2z/TUl+QEgobi+w1OyK5snaotxc+Lyqppfp1UlFjfICvMsGCKtJMb7+/4gEAhEn8Luo5a5g6UOv8p7noJ3GP1zPuFZMp5MAZthMtivT5LwnBy46C3DMElj53EKY87EhaRV/TNVldlrHQvJK6hueb5qMDaM2DFReemd70dD8hYOlRbjb3OjmNW3z6poAgBZoTYZA5pSfABQ0UBo30NDK6msrlVaiHu5X+qb9CqsUUuK//RczeFKv/X+i/iDkJMSkxRD/92IPxJ2Dy2SgtwTtcVCM6orGghYtcenyRVyIjzjNX/OLK02kXc0lsPiCgC0kiiifJy1zaROe+yE6ibi46SKoYpC1Okpbk7c0hEyUTk1Qd8ql4yQoTVmVt8eUxuji0+KorwA0KGrmP31mBJ1Cb4jM9RHqgh/zq87GpK3wj/trfOQv6HqJQIAPvl7stoFBKKHtHnYYauOFEoXir/9zMKh0iFpVcHfK+1GyhZUt8QV1m80U6SupGhJ8Vc1Eq98KI4tqC+obs7BN9e1kGSFmc4ozqpoolCgoZW09r90amN9MwkA8qqa6YyZ1bfn4cQBAJ0sWBOBDACifPRKSlTLViL5qo2OlhQ/AAyWFyyvbz0XXvQ0qWLlGDYSWaL8/2uDwPhTdIXJZApTe4UZ2BNJJAKR1FkaP4VCqalvFBNGAnd/F21Ci5CQEAA0EcgCPGy0BjNFR1yUn+t5Ct5upOyz5AoAWDTs1xjiUlTxydACHi7cWFURMw2xTeOFrnwozq9q6U7P1Y2/nvVVTUQA4OHk4Kb5+xEX4JpnJNW+zD6z+vbYHgS6EIVdUbKjIYicMA8ADFcS1qIRN5s6SOJceFFGRVP3r9sP1LeQhAUFurb7a2AHXWEGZOb/uPIw+MX7LzUNjWONBm2wnWk+ilGeI2P7tx8T9l3w/5aVTySRVeSkNi21WjV/GjUCVdc1/OPlez84oqmlVUiAf6rJ0NM7ndAU319Cm9AiLy8PAMW1LVo9kmvsI3i4OKwNJe/GllU1Ep8m4UcqC2v8X2wY30A4FpInKcgduWkYVdIYk3dsDw6HI5PJtC1Z+F+PaRVxPgBQl+Sj3UJGIlMaWkn83PQDC2b17TUk+XA4oAt430oaAKDD7WHYXBmxrbfNRDIAiPCy1xxmSV2rrKxM13YINqCppXXhjuPFZZU208ZJiAo/eRezcPvxJ2fdOttXxtg+7HPSnM3HRIUE7GdN5OLifBIas/1f74qqWrfViwCglUCct+XY55TMZVYTRw/WiU3J9H7ypqis8u21w/36mREsos1zSk9Pj5uLK6m4ga1CCwAsGip953PphciilJKGk9aa1PbCmhYyBSz1JKhxpbimNaWkscPVCCUx3vCsX+L2aWWNOZW/hhHqEnySgtzvM38ZAMD5iKIToQWPVxqOVmnzqsWsvr2sMM8YVZGYvNq8ymZVCT4AIJIojxMr5ER4jOQ7CC183Bym6qJROTU5+Gb1/8fR4O+VADBShb1e+pJLmoyGmLHaC0S3OHjpbkZeccDp3VNNhgHA+sUzxizdsebQheTH53tg7+H9iEKhRNz0UFeSBYBDzku0Z6095x/o6rSAk4PD78X7T8kZxzbZb1pqBQDLrSfhcLgbj0O+fs8arqfZ4eUQA4k2oYWXl9dk7JiwrPS5RmxRGYXKcCVhDUm+q9E/+Lk5rAx/5YJpSvIL8nA+S8ZP0hbXkuL/nF93IjRfiJezsZWUVdGk2TZADlcSepteteVJ5tIRsjn45guRRSK8nJX/nxPj5sTttlDZ8TRrQ0CG8zhFYV7OV6mVZ8KLxmuKjlKmf5r3QN9+43jFZb6pax6kb5qgJMbHeSGyOL+q+dZSPeo6he+X0j0vcrZOUNpqrgQAe6aozLqWtOZBuquFioIoT1R2zZ0vpaNVhKcOYiNF5FYiOSqn9vgGC1Y70pts/9c7MT33zrGtcjTF8De6X8krLn94ypWHm4uBRDEdqw6cJ1MotFUjPW89CY76+vLSfi5OTuhKdbjX8X0eZqilOvX/l5CRELUYM9Q/6P3nlAyq1kv37YtK8YoyklhcAQAhAf6RBlpRcd+bWwiC/Lz3gsOlxUXXLrKk9rbDYe6YIYOkxDtV0kMMJOj/HubOXxCcWl3fwvQOq75mwRBpEpkyQ19SmPfX9JQQL+epOZoEEsXBP3XcubiDr3JdJ6uctNYgUSiTLiTQ9bDGRGGSttjjxIoFPimeYQWzDCSXjJClNbAdLnN4hvrr1KrplxNNz8YdC8m3GSZ9aaFOr6xST9AUOzdPKwvftOpe2sKb374W1u+frkbNoMQgkX8ltQ9VFLq9VK+svtXe9/vkCwn7XuZO0BT1WaLbC670Hq9Sq5paidbW1qx2pDfRVJaLTkh9FvaJ2vKjourWs1BxUSEebq7w2JRZzocfvo6yGDNk+exJhWUVW45f23+h47pbcanZcanZtC1ZBT+iE1Kxqi1FZXgT+113g96bDtOzt5qY96N84XaPC/de9NHnwlfXVdc10KVzYppjcd+ze2BvZT66qAz/6kMcdigjrzj8S8r4EQaC/LwAkFVQMtVkKA83V05R6YuIL3Gp2fLS4raW41XkpPvm8yHYC/qJ+2XLlu3Z7XrnS+k6055U0+s7Nk9Q2jyhgyoXswwkTdVFk0saZIS4daQFsDBgoiZa00wEgIcrDKiW/Nwcd+z08A2EkrpWfVlBzHK3hQptb47GcouGSieXNDS2knRlBBVEe6Jd0RmzB0vNNJBMLK4nU2CYohBdvQC7kbJ2I9uEuknaYl+2jUgta8Q3EvRkBGSY3/bWp1AocCWmdOaMGUpKA0qxedHUcXvO3nn8Nmb1gmlYS8CbD2QyxX7WROiGRHH3Yaw6TGf8m9LCAJCRVwwAtEMx+H99/vLKmh7Yr100Pexz0oJtHsZGOnw8POGxyfJSEliV/oam5pKKKhkJsYXbj7+MjP15rpri5b3rUTmAvwT60CIuLr5zl4vncff5RlLs9izrDHEBLrO2JYTFBbjEO6kQLCnI3eGmLCpCvJydlYz8fbg4cEzlPHJx4gzl2XTX5n/x5YlFdT6BR1jtSC8jJS4y1WToq6i48qoarNDWw9cfFKQlsFIrXUoUd5MuVYfp7JmVFiaTKU0trdRf+Xi5MekXuqClLCcNANX19NX14f9SMQzsxYQEVeSkE9Nzv37L4ubiJJMpXJwc9Y1NAJBVUAIAF+8HaSjJee5wNDYaFJOQuve8n82OE5/u/ovKl/0NdPD83bVrl8+Nax6hhadmdyz7g0DUtZA83hWtWbtmyJBek+nk4+OrJLCFMs3SmeZBEbHPwj6tnDsl70f555SMHcvnYntqu5Qo7iZdqg7Tway08OeUjMlO/1B/9Tm8mZeHCwCqatsUFmpsbgYAceEO9pJ0aT9l9b6UrPwzu5wWTDXl5eEO+RDnfOzK/K0en++dws5qaSX4uW/TUVMEgKGD1Msqa074BDx8/WGdjWX7y/U/zS0EaX722q80kOhg7VFAQOD0Wa8HcWX/xZf3v0MI9odMgY0B2cAjcOhQb24klZCQqKiu68UOe8x00+FiwoJPQmMA4FHIBwCwm2WOHTpSSHFdAAAgAElEQVTj+0xn1loP70dEImni6MFX9jmPGTKo+z1Tn9S0qsPUHzrVYVowaeHOftpvIpASE7aZbkb9UZGXxrSK6eJWVU09AHS4tM7YPi23KCUr32y4gdP8qWLCgvy8PNYTje1mmTc2tzx791FBWgIARhtqY3EFw9JsBACk5Xa6a7+fwdfUSUhIsNqLAUvHs0bz5s1zdXXdeeKEoiiPiToavSLacPh1XkRObei7MElJ+srtv4Oenp7PjesUCoXl6f28PNwLppjcfBpaWVP3MCTK2GgQtnzNrEQxDocjk9rsiEnPK8b+0aXqMB3MSgvT9QwAPyqqcDhcbttQkZSRBwAjDbTa96mlosDAPjkjDwDMhuvTHp002sjL/3l1XYOSnBQA0KpeAkBzSysAiAixRYIthUJJzSl01GWvfTEDiU7z744cOZKelrr6v6AbNlrGfbb2gPizoFDgVFjBtegffn5+Y8f2sq7PmDFjausbvn7PHqHP+ryHJTPNrweEnLr9NDE99/yeNVhjZxLFMhIdv36pykuHfkokEEncXJwA8D27IPv/Wve0qsPYUQD49+bjw1fuh1w9NHYI/SMPkxbuzFuzYfqdqdZTkZcSNx2mFxX3PaewFNsxTCCS7r+KVJCW6PBcxva8PNwA8Dg0Zs+qhdRTMCEyA00Vfl6eCSMN339Jzir4oan8sy5RYNhnADA2YmKQ13d8/Z5dW9/Q699hBJVOq5VwcHDc8fWbNG3G4tupaGYMAQAtRPKGgCyvyJIrV67Y2tr2ev9GRkYqykpP38X0es89YLShtpaKvJf/cwE+3vkWJlgjVaI4KCI2q+CH7/OwyU7/UCWK23cy0kC7lUBcc+hCxNeUm0/f2uw8SX1nx1SH6xqaVu4/F5+Wk11Ycs4vkFZ1mA5MWrizn3kW3XpE7nSYSyCS7PecevbuY3hsysLtHrnFpef3rMGGid5P3oiOXex+42F37PXUlScbD/meXTBn89F7LyOiE1J3n7393+tIPQ3lWRNGAcAh56U4HM5+z+nXH+K+ZRVcuv/S+3HI2CG6M81GMvlf0Sc8CY1RVVE2MupaBQfRM3CM9QEpFIqbm5uHh8eiYTK7JytLC6Gau38pn/Lr9gbnF9XDf48CJk+m37/UWxw4cOCi19mUx14CHU0K9TPHvR8dvnJ/saXZ9QO/ZpYev41ee/hSQ1MztJUobmklYhLF09cdyCksTQu8BACNzS12u0+9/hAHAArSErYzxgOA560nlZH+2ML75Qcv//HybW4lAI3qcPudx73Iw5Ao56OXG5paAEBUWNBt1cL1NjOwQzceh2z2uLZn1cI9Tgu7Y19VW7/9X+//XkdRnyGmw/Qu/7OemkT5+kPc2sMXy/6/s3mm2cjL+9b36afrJo3NLfpzN27YtGX//v2s9mXA0kVowXj8+PGWTRuq8BWbzeTtR8oK8XZQrBcxUMnBN3uGFT1JKp8yedKFS5e1tDqYl+8tysrKdLS11y2c8s9qm767ym/CrERxRVVtcXnlYG3VDteQGKsO9wVEEunr92wKmTzSULvDIgJM2ReV4b9nFza1tA5SVdBWVaD7jAQi6VtWfkV1rYGmihzz++j6iCNX71/6LyQ9I0NGBpW/6yu6FVoAoLGx8cSJEydPHOegkKcNEjXXEhssLygvwoPCzMCDTIHqJmIOvulrYf3r9JronGoNNdVTZ872T9b9qVOn3Pbs/nLvlJoC+rNH9D4FJRUjFm87cvTY1q1bWe3LQKa7oQWjqqrq9u3bjwMeRkVFE0lsVwwG0btIiIlOnTZ9qZ2dpaUlJ2c/vUMQCASjwYayIrxPzuyhrm8jEL0CgUias+VYaW1LYlIyNzea3u9DmAstVFpaWr59+1ZaWlpXxxaJCIhehIODQ0xMTF1dXV1dnSX7gFNSUkzGjp0zcdRFt7X9f3XEAGbL8ev3XkVFRkX1YqovokN6KP7By8s7bFgflmhF/M0YGBj4+vnNmTNHVV7axXE+q91BDBCOez/yfvLmyZMnKK70A5wHDhxgtQ8IBD2DBg2SkZHZc9SzuKxyytih3VltRiA6g0AkbTl+/fy9oPPnzy9dupTV7vwV9HBCDIHoBwIDA5fY2o7Q17jotlZVHhVjR/SEvB/l649ejv2W7X/3rpWVFavd+VtAL4MI9sXKyioyKqq0tmXk4m1Hrt5vbG7p+hwE4v80NrccuXp/5OJtpbUtkVFRKK70J2jUgmB3CASCl5fXoYMHubk47GdOmDNpzHA9DZbXGUOwLRQK5ev37CehMXdevCcQyfv279+4cSPaD9bPoNCC+DMoKyu7dOmS943r+QWFIkKCehrKkqJCWCUrtoJCgb8h6rHnx2xpJVRU16XmFNbWN6iqKK9wXLlu3TqUF8kSUGhB/GEkJCTExMR8+/atqqqqubmZ1e60oaSkJCkpacKECTw8f4aMXs/Iy8vLyckxMzPrt2ynbsLHxycuLq6vrz927FhUH4y1oNCCQPQOsbGx5ubm1tbWvr6+A3u+7vv37+PGjRs3blxAQAC7RRcEm4BCCwLRC+Tk5JiYmOjr6798+XJgD1kwIiIipk6dum7dulOnTrHaFwQ7gkILAvG74PF4U1NTHh6eiIgIUdG/RTrvwYMHtra2np6eW7ZsYbUvCLajh9n4CAQCo6mpydraurW1NSws7O+JKwCwaNGi3Nzc7du3Kysrz5+PiiYg2oBCCwLRc0gk0tKlS9PS0iIjI+XkOi6qP4DZtWtXYWGhnZ2dnJycqakpq91BsBFoQgyB6DkbN268ceNGSEjIX/tgJZPJCxYsCA8Pj4qKGjSILcSJEewACi0IRA85fPjwwYMHHzx4MG/ePFb7wkqampomT55cUlISHR0tKyvLancQbAEKLQhET/Dz87O3tz979uzGjRu7th7oVFRUmJqaioiIhIWFCQoKstodBOtBNcQQCKYJDQ11dHTcs2cPiisYUlJSQUFB+fn5NjY2RCKR1e4gWA8atSAQzPH3pEYyy+fPn83Nze3s7K5cucJqXxAsBoUWBIIJ/rbUSGYJDAycO3fusWPHdu3axWpfEKwEhRYEorv8namRzHL58uX169ffunXL3t6e1b4gWAbKa0EgusVfmxrJLGvXrk1PT3dyclJQUJg8eTKr3UGwBjRqQSC6hkQiLVy4MDw8PDIyUldXl9XusDsUCsXe3v758+cRERGDBw9mtTsIFoBCCwLRNSg1klmam5unTJmSm5sbHR2tpKTEancQ/Q3afIxAdMHhw4cvXbrk6+uL4kr34ePje/r0qZCQ0IwZM2pqaljtDqK/QaEFgWCEn5/f/v37T58+/Zen3PcACQmJoKCgsrKyxYsXo2SXvw0UWhCITkGpkb+Jurr6ixcvIiMj165dy2pfEP0KWmtBIDoGpUb2FkFBQbNnz963b9/evXtZ7Quin0ChBYHoAJQa2btcu3ZtzZo13t7eDg4OrPYF0R+gvBYEgh48Hm9paSktLR0QEIDiSq+watWq7Ozs1atXKygoTJ06ldXuIPocNGpBINrQ1NRkYWHx48ePDx8+/IXqXn0HhUJxcHB4/PhxeHj40KFDWe0Oom9BoQWB+AVKjexTCATCjBkzvn37Fh0draKiwmp3EH0ICi0IxC9QamRfU1tba2ZmRiKRIiMjxcTEWO0Ooq9Am48RiJ+g1Mh+QEREJCgoqLa2du7cuS0tLax2B9FXoNCCQACg1Mh+RFFRMSgoKC4uzsHBAc2aDFRQaEEgUGpkf2NoaPj48eOAgIB9+/ax2hdEn4DWWhB/Oyg1klX4+fnZ29ufP39+/fr1rPYF0cugvBbEX01OTs6sWbNGjx7t4+OD4ko/s3Tp0oyMjE2bNikqKs6ePZvV7iB6EzRqQfy9INVIlkOhUFauXHn//v3Q0FBjY2NWu4PoNVBoQfyloNRINoFAIFhZWX39+vXDhw9aWlqsdgfRO6DQgvgbQamRbEVdXd348eNbWloiIyMlJCRY7Q6iF0A7xBADnMzMzB8/ftA1btmyJTg4+OnTpyiusAPCwsIvXrxobGycM2dOc3Mz7aGqqqrY2FhWOYboMSi0IAY4np6eo0aNSk1Npbag1Eg2REFBISgoKDk5edmyZWQyGWvMy8szNjZ2cXFhrW+InkBBIAYutbW1/Pz8OBxOREQkMjKSQqFgO4zPnTvHatcQHRAWFsbLy7tz504KhfL161dpaWlOTk4cDpeVlcVq1xDMwXngwAFWRzcEoq+4cePG8+fPyWQygUC4ffs2gUDYuXOni4vL7t27We0aogPU1NTU1dV37txZVVW1YcOGhoYGEonEzc3Nx8c3efJkVnuHYAK0jI8YyOjp6aWlpWFfcixtZfr06S9evEApLOyMg4ODr68vhUKhzoxJSEj8+PEDaef8QaC1FsSAJSIiIjU1lfryhI3Tg4ODN2/eTH1mIdgKCoVy4MCBW7dukUgk2v+jqqqqp0+fstAxBLOg0IIYsFy4cIGbm5uukUKhXLhwYeHChXQ7kRAsh0gkrlq16tChQ+0PcXBwXLhwof9dQvQYNCGGGJiUl5crKioSCITODCZPnhwYGMjPz9+fXiE6g0gkzpo169WrV50Z4HC41NRUHR2d/vQK0WPQqAUxMPH29u7stYmDg0NLS2vr1q0orrAPXFxcHh4e48ePBwBOTs4ODa5evdrvfiF6CBq1IAYgZDJZVVW1sLCQrp2bm1tAQODgwYPOzs5cXKg2Kzvy5s0bZ2fnzMzM9uthoqKiJSUlfHx8LHEMwRRo1IIYgAQHB9PFFW5ubh4enm3btuXl5W3evBnFFbbFwsIiOTn50qVL4uLidP9NdXV1jx49YpVjCKZAoQUxADl//jz1qcTFxYXD4aytrdPS0jw8PFCFY/aHm5t79erVWVlZ27dv5+bmpt2Lcf78eRY6hug+aEIMMdDIz89XV1cnk8kcHBxkMtnMzOzMmTPDhw9ntV+InpCRkeHq6hoQEMDFxUUkEgEgOTnZwMCA1X4hugCNWhADjatXr5LJZBwOp6Gh8ezZs/DwcBRX/ly0tbUfPXoUGhqqp6eHJbqixfw/AjRqYTEJCQkxMTEpKSlVVVUtLS2sduePh0wmP3/+nEKhGBoaamhosDzrno+PT1xcXF9ff8yYMUOGDGGtM3Q0NzdHRkbGxsbm5ORUV1ezeRophULJzc1NSkoik8lWVlYd7iJD9CLCwsKysrJDhgwxNzeXlZVl9nQUWlhDWVnZpUuXvL298/PzRUREDA0NJSUl0daX36eoqKi8vNzAwKB9siRLaG5uxuPxycnJtbW1Kioqjo6O69atk5GRYa1Xnz9/9vI6F/AooKGxUUlWSkNRRlyIn4PjDyh+QyKRs4rKhPh5FaTFWe3LAKe+qaW4oiY9r5hEJo8dY7x23frFixd3f/8LCi39DYFA8PLyOnToEC8v74oVKxYsWDBixAiWv1wPGIhEIhvu/qJQKLGxsQ8fPvTx8Wlpadm3b9/GjRtZEvyKi4tdXHb5+fkP0VFbNsPU0mSI4h/4jCaSyFycaDK/P2hqbg37+v1eSMzziDhd3UHnvM6bm5t350QUWvqVhISExYsX5+Xl7dixw9XVVUBAgNUeIfqVxsZGDw+Pf//9V1VV9d69e/08RXb58uWdO3ZIiwkdWTvfygytPyGYIKuwdPfF/4I/xNsuXnz12jUhISHG9ii09B+BgYFLliwZPXr0jRs31NTUWO0OgmXk5uauXLny06dP/v7+VlZW/XBFEom0devW8+fP77Kfud1uJh8PW8wWIv44XsckrTtxU1FZ9Vngc2VlZQaWaFDZT1y6dGnu3Lm2trbBwcEorvzlqKmpBQcH29razp0799KlS319udbWVmsrqxvXrt46sNbNcQ6KK4geM3XM4HcXd7fWVRmPHpWSksLAEo1a+oPAwMA5c+YcPHjwn3/+YbUvCDbiyJEj+/fvf/LkSZ+OXVascHj033/P/t06Qk+9766C+Huoa2hasNvrR03zx0+fO9uTgkJLn5OSkmJiYrJgwYIbN250aPDt27cnT54QCIT9+/e3P/r06dOWlpZFixb17OqJiYnv3r1btmyZuPift1rLbmBpmL1rv27dOl9f38jIyD5ad3F3d9+795+7RzZMH2vU/mhqbvHzyDgCkbTbwbrD019Exbe0EuZNHNWDSydnFUbEpdpOMxETRmuKvQCZTOn+Lr6GphZBft6eXYhIIuNwwMnwq1tV2zDJ2UNcRv59eESHa8YotPQtBALByMhIQUEhODi4wx1BZWVlampqTU1NBgYGycnJ7Q1GjRqFx+Ozs7N75sDFixednZ2/ffump6fXsx4Q6enpFy5cePr0aU1Njamp6datWxmL6TJlTyAQpk+fXlxcnJiY2Ot7xmJjY0ePHu3hbLN2fgcOlFfVGS52aWpp1VNT+HizA5UUAJiw5khlbX3SXY8eXP3ak3fbz/h9vnV4kKp8D05HYGQWlF59EvoiMr62oWmMoZbzoinmwzv9W05Iz9t/LeBrak51XaOMuMjMcUOPrF0oLNhBhe+hS/eYDR3ktXM5beODkJirT94lZuQTSSR1BZk18yY5zZ7YWTxLzy+Z7Oy+znmju7t7+6NoraVvOXfuXF5e3o0bNzp7akRFRTU1Nbm7u3cYVwBgw4YNu3bt6ksfEYxoamqytrb29vaeNm3aunXrMjIyrKyswsPDe8uem5v75s2b+fn5Xl5eves5hULZumXzaEOtNfMmdWgQk5zR1NJ6YPX8zuIKAKyZO2mL7fTedQzRfZpaWm32eN0JirQYbeA02zyrqNRmt1dUQnqHxnFpuTO3/huflrfIwthl2SwRIX6fwHCr7Z5kMv34wS84KruojK7x7qsPq47dqK5rWLfAwmnOxIamlh1n/f/1e9GZbzoqcnsdZ5/y9ExP78AftssAGEiUlZUdPnx4x44dDNbtq6qqAIBBJZLly5d3dgjRD7i5uaWlpQUFBVlaWgLA5s2bhwwZ4uDg0Nk4kll7AFBWVt6+ffuhQ4fs7Ox6MZvSz8/vQ3T0+yt7O8uaqq5rBICh2ioMOlky3aS3/EH0gEPXH2cUlDw6vnmK8WAAWLfAwsTxwFoP7w7HkVcehza3EkIv7TLSUgYAN8c51ts8w75+fxoeO9d8JAAUlVd53Hz2NTU3Kaug/eleD15rKsm8u+SGjXK22loOtnW99vjdLvtZnbnnaG3uHRixY/v2Z4GBdIfQqKUPuXjxIi8vr6ura2cGrq6up0+fBoB//vnHwcEBADZt2rRy5crCwkJnZ2dpaWmsZcWKFdRTqqur169fb2hoKCcnN2/evKCgILo+P3/+vHDhQg0NDQsLi/Pnz9NOeK5atWr58uWZmZlOTk7KysqTJk3y9fUFgFOnTo0YMUJGRsbS0jIjI4O2t7CwMGdnZx0dHWVlZVtb28uXL5NIJGpvGzZsKC4uXrJkiaqqqqampqOjY0NDQzdvDlPONDc379+/X1NTk5eXV1tbe82aNXV1dbS9dXlbeszNmzeNjIywOAEAsrKy06ZNy8nJ+fjxY6/YY7i6uvLy8vbubjEP92OLp47FnjLt2X/10YX/QgDg0I3Haz28scad5+46n7hZVF61/Yyf+uwtWMs6Dx/qWTX1jdtO+xo77NOau23p3ouvY5Jo+/yamrts/6XBtq7W2zyvPg6lm2vfePLWGnfv7KKyDSdv6S3cOWvrv/dDYgDg/IPXZqsPa8zZOm/XmazCUqp9RHza9jN+w+zc9BbudDx09cazMBJNKZqNJ2/tOOv3o6La8fBVfZtdRkt2rz/u09jcrVJJzHrS3Eo45vPUaMluqSlrhy7ds9nzdn3jL/VrxvfkN/ELjjLUVMLiCgDIiItMHm2Y96Piy/cO3lQ+JmcN1lKm/R+3szQFgNjvOdiv9Y3NmYWlIkL8w3XV6M6tbWj6llM0xXgwdfZMXkps/DDdqroGApHUmXtcnByHVs8LfP68/W4xNGrpKygUio+Pz4oVKxjkRSooKGBvqcrKyqqqqgCQmJhYUlIyc+bMxMREbCgTHR2Nx+Mx+8LCQjMzs/Ly8mXLlomKir569crKysrT03PLli2YQVhY2MyZM/n4+ObNm8fBwbF3714xMTHq5eLj4wsLC9+8eSMmJjZx4sT79++HhYX5+/uHhITMmDFDVVX1xYsXFhYWOTk52OLzu3fvpkyZIioqumTJEikpqZCQkHXr1mVnZ584cQLrraKi4smTJ+rq6osXL/748aOPj09NTU03FTWYcmb9+vW3b9+2t7cfNmxYVlbWtWvXkpKSPnz40M3b0mMqKiqqqqpoQzsAYBq6X758MTY2/k17KgICAitWrPDx8elwK0cP+PjxY8q375e27O3MQF5STFpcGHJASUZCRVYSa0zJKiytrFnoejY5q3CIjioAfErJqqytx44WlVdN23i8orpuybSxIoL8bz+nLNpz7tj6ResXTAGAiPi0Ba5n+Xi4rc2Gc3DgDt94IirU5pufmFlQXF4VFvtNVEjAbJhuwLvPEfFpD958fPclZeoYIxVZyVcxiVbbPZPvHufgwIXHpc7efkpEiH/hZGNJUaF3X75tPeWbW1xxeO0Cam/4mvrnEfGq8lILJo3+8i3H92VUbUOT76H1Xd4cpjwBgG2nfe++il48dewQbZXs4rJbzyNSsoveXNjd5T35TfA19dV1jXaW42gbtZRkAeBrat5IPQ3adgKRNHmUwci2mwALy6sAQFxEEPt1kKr8y7O7ACC7qGzo0j20llycHMHnXNTkpakttQ1NKdmFk0bqc3MxKtc2xdhQXUnOx8fn33//bdNhtz8mgjkSExPz8/MXLFjAwGbTpk1CQkKhoaFbt24dN+7nFygtLW3atGn379/X1dWls3d1dc3NzY2JicEeUgcPHrS0tHRxcVm2bJmEhAQAbNmyhZeXNzY2FpuC27Fjx9ChQ2l7KCkpOXLkiJubGwDY2trOmDEjLCwsJSUFe/w5ODjcunUrMzMT+/Xu3btcXFxZWVlYfHJxcdHQ0AgMDMRCCwDk5ua6uLi4u7vjcDgymTxq1Ki3b992/xZ10xlVVVVfX9+ZM2f6+Px8fdbU1Ny8eXN6ejpm2eVtoVJRUXHx4sXO/Jk/fz5dtfa0tDQAkJdvswo9aNAgACgro5+q7oE93dWPHz+emJhoZNTBVi5mef78uZqCzFAd1c4M1s6fLMjP+/5rqvPCKWMHa1PbMwpKJo8yuLl/rY6KHN0p+68+yi+pCL20B3uo7Vkxe77LmX1XHtlONREXEXT1usfLzRVxda+KnBQAbLKZZuJ0kK6H0sqavSvn7rSfCQALJ4+e73I2Mj7t083DWsqyALDWw9s/+EN2UZmWsuzDt5+4ODkS/d2x+LR1iaWRrevLD/HU0AIA+SUVW5dYHlg1D4fDkcmUCWuPhMV+7+b96b4nLQTi/ZCYaWONLrn+fGPQUJDZ5XU3s6BUS1mW8T2huyi+pv7ak3eduTR7wgg9NQXaloyCEgCQk2yjMKStIgcAFdW1dKdzc3H+u3kJbUt5Vd21x6HcXJwdbg6kQ4CPd4yhFvbviw9D8ksqX8Ukkkjk7UtnMj4Rh8PNNhsa+OwpCi39RHR0tIiIyIgRI3pw7uHDh9vHlcrKSn9//1GjRlFffnl4eFatWhUaGhoQEODk5BQTE5OQkODm5kZd2tHW1ra3t79y5Qq1E05Ozp07d2L/xna7Tpo0CXtAA4C5ufmtW7e+ffuGtWzbtm3jxo3UcU9ra6uYmFhNTQ21N35+/gMHDmBT+RwcHKampl+/fi0sLFRSUurOx+ymM1hvYWFhcXFxw4YNA4ANGzasXLkSq+bZ5W2hvWJ5eTmDYYGOjg5daMnMzAQAuviEjS+rq6vb98CsPS0jR44UERGJjo7uldAS/SFq3BDtru06Yu/Kue3jSlVtw39vPg7XVaO+LPNwcy2fNf7919RnEV/11RWTsgp22s/E4goAaCrJ2k4d6/3sPW0nnBwcmxdPw/5tqKkMAOOH6WJPcwAwGzrIP/hDal6xlrLshkVT18ybRB33EAhEUSGB2oYm2t74eXl2O1j//+uHG2OolZCeV1Re1Z2qaN33hEwiA0BEfFpCRv4QbRUAWD130rKZ43h5uBnfk+UzzeguWlFdd8znaWcuaSnL0oWW7MIyABAXbhOisCFmdX0j4w8YHJ3ofMKnorr++IbFBhrd+nukcvD646bmVgDQU1Pg4+161+L4Ybpn7gZXVlbSfvNRaOkrvn//rq+v34O6k9LS0qNGdZBGkJaWRqFQ6uvrbWxsqI21tbUAkJWVBQCpqakAQDdMoXtWKigo8PDwYP/GHs0KCr++zVih8tbWVuxXXV1dPB7v6ekZHR2dm5ubkZFRW1tLay8jI0NbrRlLnamvr+/mJ+2mMwICAvv37//nn3+GDx+up6c3ceLEGTNmTJs2DTPo8rbQoqur29jY6d8k1RkqvLy8AFBZWUnbiK0ndZgnxKw9LTgcTl9fH/tP/H2+f/8+ee74HpwoJSbcfiIeADIKSigUSkNTi8PBX28q2LM+p6gMKxY5WKvNjgC6ByUAyEuJ8XD/fOZgRQHkpX5N2GKJFK0EIgDoqMhV1tZ73X/9KSUrr6Qiq6isrqGJ1hhzlbaygLiwAAA0NHVruaX7nvDz8bgutz5847HZqkODVOXHD9OdOmbw5FGGnBwcjO9J+4vqqMiVvup00Ez151cLDxcAVNW1Wb9saG6BdvGGlpzictfz915+SNBQlLn+z6qJI/Q7s+yM0uCLWYWl0UmZB68FTFp39NuDE7ISjLRZ9dQVASA1NdXE5NemD7SM31fg8fie7fbBHk8ddogd5aZBUlJy6dKlWPzAnmh0OhZ0hfoFBem/kQxy+k6ePKmkpHT48GECgWBhYXHz5k1TU1NaA37+DvbLdz9TqvvOuLm5ZWZm7t27V0BA4PLly7NmzTIwMCgpKYFu3BZacDgcf67vWd0AACAASURBVOe0lwCRk5MDALrNXdh9xjZZ/KY9HdLS0tR1td8Ej6+UFhfpwYm87R5wGJW1DdhRLi5O6o+EqNCiKWP01BWrahsAgLNtAgRvu4oyAnz0wbuznImz94J1F+w8fjuQQCJNHKl/2XUFdbqGCn9HL9Td/Pp13xMA2Gk/M8Hf3WXZLH5enhvPwha6nhvtsLe0sobxPWnfDw6H4+fl6eynfYoi9kDPLS6nbcRutaSocIeu3g+JMVl5ICI+7fDaBR9vHup+XKFQKLR7lDWVZO0sTQ+unk8gkrrcmCAlJgwAFRUVtI1o1NJXtLa2dhYkeoaGhgYAaGtrYzupMEgkUl1dHbZTQF1dHQDev38/d+5cqkFubm7PLldeXu7q6iotLZ2RkSEs/PN7fPTo0Z6633NaW1sbGxvV1NQOHTp06NChkpKSo0ePnj9/3svL6+jRo13eFlpKSkoOHz7c2YUcHR3pJjB1dHRwOBxdqEhISACADtfkmbWng4+Pr7m5uUuz7tDS2sp49ZVZ1OSlAEBTSfa62685RhKZXN/YzM/L8yomEQAiE9JpCyrnl/QwTFZU1+2/+khKVDje75iQwM93o5N3Ok2w6FNaCcSmllYVOUk3xzlujnNKK2tO3nlx9XHolYDQRRbG0Pk9ad9VaWXNidvPO7uQ/YxxdGtjWkqyOBwup21oSc4qAIBR+h3U7AmOTlx97MZoAw2fvWuUZCXaGzDglP/Lg9cCHnpsnjpmMLVRUkwIAArLKjs/D+D/ryN0X10UWv4YtLS0pKWlX716RSAQqAmY7u7ue/fujYiIGDdu3MiRI7m5uUNDQ6mnEIlEf3//nl0uLy+PTCbPmzePGlcKCgri4+N7oDf3m4SGhlpaWt65c8fOzg4A5OTkdu7cef78eSwlqMvbQttVdXX19evXO7vQhAkT6EKLgoLC+PHjw8PDs7KyNDU1AYBAIPj7+ysqKna4isas/R+EhqKMlJjwm88pBCKJGrQ8/YKO3Hjyystl2CA1bi7O8K+/ZvOIJPKDN4z2WzOgoBRPJlOsxw+nxpXCssqkzAIZiZ6Mw36T8LjUebvOXHNzspkyBgBkJUS3LJ5+9XFodV0D43tCuzkCo6a+6daLiM4uZDpEhy60yEuJmRrpfEjMyCkuV1eQBgACkfTgzUcFKfEON2gcvBYgIsh/5+B6upX/7oCtx4R++UYbWm4GhgPA4E72rzMGhZY/Bh4eHnd3dycnJzs7OxcXFxERkadPnx45cmTKlCnYPJWysrKzs/OZM2dWrlzp7OyMw+EOHjxIu+rOFIMGDRISErp//76lpaWurm5UVNTevXtFRETq6+vT0tKwXU/9g6mpqYyMzKFDh5SUlIYNG5aZmYkNnmbOnAnduC206OrqMqsSvWfPnpkzZy5atMjNzU1cXPz48ePZ2dnPnz+nrqJdvXp1/fr1+/bt27dvX3fs/1B4uLkOrJq34eStVUevb7WdLizI/yIy/uTt5xNH6o8x1MLhcKvmTLr4MMT5xM3VcyYCDudx81ltQxdLzZ2hrSwnyM/76N3nKcaDdVTkYpIzj9x4IizIV9/UklFQoq1Mv8WgTxljqCUtLuxxK1BBWnyItkp2URk2fpo21ojxPWnflY6KXEXIZaauvsNuxgLXs8sOXN5pN1NMWOC0/8vcH+X/uW/Cvk4+geHbTvu6LLdyXW5VXdf4LafISFvF68Eruk7Mhup2uUlsqvFgAw2lKwFvRYX4LUYbFldUPQn78jI6Ybiu2vSxPaluh0LLn8TKlSsbGxt37dr14MEDAODi4nJycjp69Cj1seXh4dHQ0HDt2jVvb28AmDx58rlz5+zt7XtwLWFhYW9vb0dHR2trawCQkJA4ffq0oKDg8uXLDQ0NCQRC732srj3x8/Nbvnz5xIkTsRY+Pr6jR49ioQW6cVt+h6lTp965c8fJyWn+/PkAICYmdurUKWpGJABQKBQSiUSd4u/S/s9l2UyzppbWvZcfBrz7DABcnBzLZ47f5zQXu88H18xvbG65+Tz8TlAkAJgP1zu5acmqo52OERkgJMB30WXF+uM+Nnu8AEBcRNDD2UaAn3fNMW9jh32Vb6/26sfq2pnr/6xa6+49c8tJrIWPh3uf09xpY4ygq3vy+0waZXDVzWnDiVt2+y4CgKiQgPt6G2oGJYVCIZHJ2HcvJjmTQqEkpOclpOfRdYIDXJehhYMDd/eIs9PR6+43n7nffIY1Wo8ffmKTbc8EPVF5yr4Cq1WMPex6l7q6uri4uPr6+sGDB3eoxlNQUJCUlKSnp4etvvwOeDw+Li5OXl6eutsNj8dXVVVpaXXwUtanNDY2YqlCUlJShoaG7bdIdHlbfgcikfjlyxcymWxsbNx+tf/37TF68TuDw+Fu7l/Ts4rFjKlvbE7IyG9oatHXUFSSoZ/QLyyr/JZdNEhVXlVe6jcvVFlbn5CRLycppqsqj333Kmvrq+saNRR7rRZO92lqbk3OLiwoxUuKCuurK0qLt1lFZ3xPfh8iiRyXlksmU0bqqzMuSPybkMmUvJKK9PwffDw82iqyClLdLZcuYu50//592gLtKLT0FX0XWtif9esZZUTb29uPHTu235z5g/gjQgv7s+20L4Oji6eOHW2g2W/O/CW0Dy1oQgzR+1BnrjqELlkdgehdzIbRpxvT0oMlbkQPQKEF0fssXLiQ1S4g/l6wKr8I1oJSJhEIBALRy6DQgkAgEIheBoUWRD8RFBR07949VnuBQHTA65ikh6GfWO3FLygUCibU9ueC1loQ/cSJEyeysrIWL17Makd+oa2tbW5ufu3aNVY7gmAxZ+4G5xSXLZg0mtWOQHVd497L/z1487GppVVIgG+q8WDPLUslRYVY7RfToNCC+Eu5efNmZmamubk5qx1BIH7SSiDOdznz5XuO/Yxxo/U1YlNzfALDi8orQ87vZrVrTINCC+LvorCw8ODBg58/f8aqRiIQ7IP/qw+fv2UfXbdoo81UAFg20wyHw3k/ex+XljtskBqrvWMOtNYywOlSVT4sLMzZ2VlHR0dZWdnW1vby5csk0k8pbKbk6wHAxsbm2LFjHz58sLGxkZaWNjAwOH78OJlGz5wWxmr2XbrdY+rq6tLT00VFRTsUxUH0J4w15yPi07af8Rtm56a3cKfjoas3noWRaL5LTOnbOxy88q/vi4/JWQ4Hr6jP3jLaYd9p/5e0NeTpYCB3z9jn3+R+SIy0uPCaeZOoLTuWzry6ZyVWtf7PAo1aBjiMVeXfvXs3ZcoUUVHRJUuWSElJhYSErFu3Ljs7G5MoZkq+HgDevn0bGxt74sSJiRMnrl69+vXr166urhkZGe2LDXepZs/Y7d9BT0/v/fv3AJCZmamt3UMdRkSvwEBzPjwudfb2UyJC/AsnG0uKCr378m3rKd/c4gqqgDFT+vZhsd/j0nLP3A0eP0x3hdWEt59T9l99lFVUdn7n8vZeMZa7Z+Dz75NVWDrFeDAPN1ducfm3nCIFaXFDTeXFU//I0hUotAxkWlpaGKvK3717l4uLKysrC1MpdnFx0dDQCAwMxEILdFu+nqo6nJWVderUqa1btwLA4cOHLSwsvL29161bR1dSnrGafZduU2FW6x7BPjDWnH/49hMXJ0eivzumYbx1iaWRrevLD/HU0ALM6NsDQE5xubuzjfPCKQDwj+Mc6+2ed4IinWabt69Oz0DuXoCfl4HPdP3ga+qvPXnX2cefPWEEnQpnQ1NLCb5GRlxk0e5zwdGJWKOOitwlV8dR+hpM3l3Wg0LLQAab2upMVR4Atm3btnHjRiyuAEBra6uYmBhtHf5uytdTW8TExKgjDw4Ojj179rx79+7169e0oaVLNfsu3abCrNY9gn1goDkPABsWTV0zbxIWVwCAQCCKCglg2sBUuq9vDwCiQgLrF1hghzg4cNvtZoTHpb79nEIXWhjL3S+abMzAZzoqquuO+Tzt7ONrKcvShZasojIAuPTwjYaizL+blxgbaMYkZ+678mixm1eM9yG6gpjsDwotAxnGqvIAoKuri8fjPT09o6Ojc3NzMzIyamtraQXquylfT23R1tamLSeOPdnpNOq7VLPv0m0qzGrdI9gHBprzAKCjIldZW+91//WnlKy8koqsorK6hiZa+XpgRt8eADSVZGi/mXpqigBAJ+AIAIzl7hn7TIeOilzpq06H1DzthKIxZeIWAvHOofU6KnIAMERHtayq9uSdF49CP62dP7mzrtgTtIw/wGGgKg8AJ0+eVFJSOnz4MIFAsLCwuHnzJp18Vvfl6zHoSk9ip9ONNrqjZs/YbSrMat0j2IrONOcB4Oy9YN0FO4/fDiSQSBNH6l92XdFeXIspfXs5yTZhSZCPBwD4eOif713K3TPwmQ4cDkfVvW//0z4aKUiLAcAofQ0srmBYmgwBgLS8H519LrYFjVoGMoxV5cvLy11dXaWlpTMyMqgqxZiAY4/JzMyk/TU3NxcA6CQpu1SzZ+w2bVfMat0j2AcGmvPrF1jsv/pISlQ43u8YVcMY03bsMdlFZbS/5pXgAaC9YKWavBR0LnfPwOd9TnPpuiqtrDlx+3ln/tjPGEc3F4cJvRCIJNrGphYCAIgI8Xf7g7ILaNQykAkNDRUXF7979y72K6YqDwCYqnxeXh6ZTJ43bx41rhQUFMTHx//OFdPT02m3I2Pr8EOHDqW1oVWzpza6u7uLi4t/+vSpS7dpwbTuO4NuIg7BVoTHpSrP2vTw7c/yKpjmPABU1zUUlOLJZIr1+OHUuFJYVpmUWfA7l8ssKKHuRQYA35dRADBYS4XOjFbuntro6RekPGtTbGoOA5/bX7GmvunWi4jOfuhCHQDw8/JMGK4bn55H6+fzyDgAMP4DBWbQqGUgw1hVftCgQUJCQvfv37e0tNTV1Y2Kitq7d6+IiEh9fX1aWhrdUKObkEikOXPmHDlyREdHJyAg4Ny5c4sWLTIzM6O16VLNnrHbtPRA6x7BJjDQnNdWlhPk53307vMU48E6KnIxyZlHbjwRFuSrb2rJKChpP9ToDiQyxfafC3tXztFSlnsW/vVywJt5E0eZGNHvPmcsd9/Q1NKZz+2vqKMiVxFymSknD65eMHHd0eUHLu9fNU9RRiL8a6rPs/djB2vPMB3a9clsBgotAxnGqvLCwsLe3t6Ojo7W1tYAICEhcfr0aUFBweXLlxsaGtIOKbrP5MmTFRUVFyxYgGVKmpubd7g5mLGaPWO3EQMDxprzF11WrD/uY7PHCwDERQQ9nG0E+HnXHPM2dthX+fZqDy5nPlxPXlrMfv8lLFPSbOigU1uXdmjJQO6esc+/z3BdtYcem9Z5+Mx3OYu1zDAdesllRa903s8gAeO+gn0EjBmryuPx+Li4OHl5eX19fezJjsfjq6qqtLToV027REpKatSoUS9fvqyqqvry5YuioqK+vj4De8Zq9ozdHpD8hQLGDDTnK2vrEzLy5STFdFXlsW9mZW19dV2jhiLT3wQ16y3DddUCTmyprmuMS8uVlxLTbbvxtz0M5O4Z+NwrEIikbzlF+Oo6fQ2lP0UTEwkY/40ICAiMGTNmzJgxHR6VlJS0sLCga5GUlPydK4qLi0+ZMqVLM2Fh4fHjx3d2lLHbiIEBPx/PKH2NDlMCJUSEJo7Qp2uREPmtGsBiwgITRzJ63aEiJMBnOkSnw0MMfO4VuLk4saSZPxq0jI9AIBCIXgaFFkSvIS8vLyUlxWovEAh65CRF/0TJkz8aNCGG6DWSkpK6NkIg+p0Yn4OsduGvA41aEAgEAtHLoNCCYMQfJGjfmTBMeygUSvvsS8QfB7sJ2ncGA2GYXrFnT1BoQTDixIkT1MrH7El6evrmzZvV1NQkJSVnzZr19u1bBsZVVVWrVq0SFBSUkJAQERGxsbGpqKjoN1cRvcuZu8F7L/3Hai86JbOgdJfXXQMbF1XrzQtdz4V9/d679mwOWmtB/ME0NTVZW1sXFRUtWbJEUlLy0aNHVlZWwcHBHe5pbm1tnTFjxsePHx0dHceOHfvp06erV68WFhZGRUX1v+eIgU1TS6vNHq/iiqpFFsYSIkJPw2NtdnsFnNjS2YZmZu3ZHxRaEH8wbm5uaWlpQUFBlpaWALB58+YhQ4Y4ODhkZ2e3N75161ZMTMy///67fft2AFi5ciUOh7ty5cqXL19GjhzZ364jBjSHrj/OKCh5dHzzFOPBALBugYWJ44G1Ht5Jdz16xZ79QRNiA5+NGzeamZn9+NGmLvfq1aunTp2KSa2EhYU5Ozvr6OgoKyvb2tpevnwZE+Nqz7Jly+zs7GhbPDw8zMzMiMSfqhiMFe97nZs3bxoZGWFxBQBkZWWnTZuWk5Pz8ePH9sa+vr4yMjIbN26ktuzZs+f27dvS0tJ96iSiM3ac9Z+28XgJvk1F+k3/3p694xRVZyUiPm37Gb9hdm56C3c6Hrp641kYqaNFtdXHbjgdbaOTfcr/5bSNx4mkX8YMFO97Hb/gKENNJSxOAICMuMjk0YZ5Pyq+fO/gpacH9uwPCi0DHy0trcjIyICAAGpLcXHxjRs3JCQkeHh43r17Z2Fhce/evWnTpjk5ORUUFKxbt2737o61vmNjY2NjY2lbMjIyIiMjsSX0wsLCYcOG3b59e/z48StWrMjNzbWysjpz5kwffa6Kioqqqiq6UgKY3uWXL1/a22dkZFhaWvLw8GRnZz979iw2NlZBQcHe3l5VlV7CFtE/aCrKRCdlPAv/Sm35UVF9OyhCQkQQU8oKj0u13ub5MPTT5FEGy2aaFZZVbj3le+BqQPuu4tPz4tNyaVuyCkujkzKomzuKyqtMnQ75v4o2HaJjZ2maX1KxaM+5iw9D+uJz4Wvqq+sazduWEtBSkgWAr6l5v2//R4AmxAY+S5Ys2bFjx8OHD52dnbGWBw8ekMnkFStWAMDdu3e5uLiysrIwGWMXFxcNDY3AwMATJ04weyHGive0lr2iaZ+WlgbtxMewgs1lZfQVy+vr63/8+CErK2tlZfX8+U8VDV1dXR8fH1RLhlUstDB2u/Tg6fsvq+f+rEP6OOwzmUyxsxyH/frw7ScuTo5Ef3dMyXjrEksjW9eXH+IPr13A7LUYKN6Li7TRu2NW0749GQUlAEBX/ktbRQ4AKqprf9/+jwCFloGPtLS0paVlUFBQWVkZVuTx3r17ioqKWJmvbdu2bdy4EYsrANDa2iomJlZT04FqHmO6VLynNe6Bpj2ZTG5q+iWNzsfHh8mO0QUtbAhSXV1NdzpmfPbsWS0tLS8vLxMTk6ioKBcXl9mzZyclJf0NtS/ZECkx4SnGg1/HJJVX1WFFHh++/awgJU4tHbZh0dQ18yZhcQUACASiqJAAJifMFIwV75fPbCP6wKymPZlMaabR8Obl4c4uLAMAceE2EUtFVhIAqus70Ntm1v6PAIWWvgKHw3U/06KvWb58eWBg4OPHj9esWZObm/vx48fdu3djUsS6urp4PN7T0zM6Ojo3NzcjI6O2tlZBoYv3svZ0qXhPSw807T9+/GhiYkL91d/fn5eXFwAqKytpzRoaGgBAXFyc7nTMrKWl5eHDh7q6ugAwfPjw0tLSo0eP3rt3b9OmTd36kH0MhUJhrA/dfWh14NmZJdNNXn5ICIz46mg9Ib+k4sv37O1LZ1B1iHVU5Cpr673uv/6UkpVXUpFVVFbX0CQvJca4z/YwVrynM2ZW0/7L92wLZ3fqr957V/PwcAFAVVt9sIbmFmgXP372yaQ9u4GVz6f7yqHQ0lcICQnRrZyzkFmzZomLiz98+HDNmjX3798HAAcHB+zQyZMn9+3bx8vLO2HCBAsLCzc3N09Pz5ycnG72TH2y0yreU4/SKd5TwTTtmfoIUlJSS5f+EthQU1PDRMDoNoNh/rRfmVdUVASAMWPGYHEFw8rK6ujRo9+/s0sCQV1dnZKSUq90JSQo2Njc2rUdq5k+doiYsMDT97GO1hMehX4GgKXTTalHz94LPur9lIeba9zQQRNH6u+0n+l1/3VeSbdSkapqfz2paRXvqY20ive0YJr23f8IkqJCi6b8mlNVkZNsIRABILe4vL0/kqIdVOCXlRBlyp7dqG9sBgARERHaRhRa+go5OTlMjpcd4OXltbGxuX79Oh6Pv3fvnomJCbbcXV5e7urqKi0tnZGRQZUxptOfp6X9UAxb8IBuKN7T0gNNe7qeAaC4uBiHw9GFloSEBACgTspRUVFRAQA6fTNshk1UlF0kMYqKinprG7S8nGxhWWXXdqyGl5tr/sTRt16EV9bWPwr9ZGyoqaUsix2qqK7bf/WRlKhwvN8xqpIxpurYHhwAua30FLaAgcFY8Z6uK2Y17em6BYAfFdU4HC6nbahIzioAgFH66u371FKSZcqe3SiuqAYAObk26p8otPQVRkZGJ0+ebGxsbP9gZQnLly+/fPny8ePH4+Pjr127hjXm5eWRyeR58+ZR40pBQUF8fLysrGyHnaipqYWEhBAIBGxokpKSgq1hQFvFe+rAxd3dfe/evREREePGjaPtB9O078zVCRMmtA8t7VFQUBg/fnx4eHhWVpampiYAEAgEf39/RUXF9qfz8/NPmjQpNDQ0IyNDW/unbO2TJ08AgHaejYU0NDSkpaUNHjy4V3obPGRIQkZ3h56sZcl0kxvPwk77BydmFnjtXE5tLyjFk8kU6/HDqXGlsKwyKbNARkKkfScqclLvYr8RiCRuLk4A+J5bTCs+T6t4z/3/gYunX9CRG09eebmMHdxGxhjTtO/MW9MhOnShpT3yUmKmRjofEjNyisvVFaQBgEAkPXjzUUFKvMNzmbVnNxLS87i5uWjnAwBtPu47JkyYQCKR3rx5w2pHfjJmzBgdHZ1Tp04JCAhQxeAGDRokJCR0//79wMDAjIyMmzdvmpiYiIiI1NfXU4cjtBgbG7e2tjo4OISFhV2/fn3OnDnUV35M8b62ttbOzu7r16+ZmZmenp60ive0YJr2nUGrVceYPXv2EAiERYsWBQQEvHv3zsrKKjs7+9q1a9i079WrV7m4uA4dOoQZe3h44HC4RYsWvXz5Mjk5+dy5c1euXBk3bhym38xy3r59SyKRzM3Ne6W3iRMnhcelUrND2JlR+hpayrLnH7zm5+OZZ/5r0KatLCfIz/vo3eeXHxKyCkv9gqOmOLsLC/LVN7XQjkgwRuprtBKIaz28I+LTbr2IsHU7LyL4a8YVU7yva2hadfR6QnpedlGZ1/3XVMV7uq4wTfvOfrop3LnDbgaBSFx24PKz8K/hcamLdp/L/VHutXMZdUHCJzBcfNJqj1uB3bRnZ0I+p5iMHYutfVJBo5a+Qk5ObuzYsb6+vmzy5AIAe3v7vXv3zps3jzor+r/27j+miTsKAPh3KQkM6EYZoMyRMXHE9WBYhbXFDdFuxDRQEskGEgkDUVEXjbvaLZszJFMEM1CyzkSDRVPWmUm3pdJKVqnJnJBqE5i2pEsta0y7ZPZnaMea2fb2R5eGVKkQe23B9/mzd7n7XnLNu/ve971HpVJFIlFra2twkJmZmadOnUpLS2tubi4qKgqbPkII4Tg+Pj4ukUiCLwdNTU0Ioa6u/xOGI3e8J0NVVZVYLG5ra6urq0MIZWRk9Pb2hjIoCYLw+/2hFt1lZWVyubylpYXL5QZ/4fF4AwMDJI1tscRicXl5+Xzvi4tVW1t78ODB4V8nEr+HMUKooYp97PxPvHfWU+fEg/TUlDOftOzrHqj/7GuEEO2FtK799anPJ+/pFDE/POoYPTf3CAc+qLqlM16+pr58Tf1yFq2hioUQ6pVcDe0QoeM9GVe0pQw793nbRycv7jh6BiH0YnrqiX31oYxIFLw5A4HQzfnE/ROWZ9aruDl5rDO8asBzBLEcqmwmpsHBwdbWVp1OF5qBSUx2u31iYiI3N5dOpwf/aXa73el0rlkT/kAXZLVaLRZLSUnJY/+WkTvek8Hn82k0mkAgwGQyKRRK5J0fPnyo1WqtVmtxcXFYTkwcGQwGDMNEIlFYsYOnUcvjWYxTqm8+XRJPvvNxzHh+M9xf+VLG2ldzgxfimPG43LOrVz1mvbjN5f7T5ioueGW+S47Q8Z4MPn9g4ndTIECU0l+jLGDt32L3TwR9l0ZOXJSbLZawZZkQWkjk9/s3bNiQl5d35cqVeI8FJLTq6mqTyTQ5OZmUFLWJBJ1Ot25diZDf3Lg1IT4mgeXngXNmfdMXh3B+R0dH2KalERiXKAqFcvr06eHhYbJLaYElTaFQyOVyoVAYxbiCEMIwbPfuPR39P7oXn2MIwEJ0nPshg0YTCASPboK3FtI1NjaOjo6q1er8/Px4jwUkHJPJxGQyORyORCKJ+sHtdjtGf2P966u++3J/KA8RgKiQjIzt7R4YGhratm3bo1shtJBudna2srLS4/GMjY2F6qkAgBByu90bN26kUCg3btxIT08n4xQajWZTRcVOXsXxve+TcXzwbBq/a+DhvTj/8HxpcDAhRrrU1FSpVOpyuWpqaoIp6wAghOx2O5fLtdlsMpmMpLiCECotLe0/f174/c8nLsjgORJExdgdQ8ORM9XVNRESnyG0xEJeXp5SqTSbzSwWS6/Xx3s4IP70ej2LxTKbzUqlkux1dNu3bz979uxX3yp2Hu/3/hu+oByARZGMjPHwni2c98SDgxFK3kFoiREMw9RqdXZ2NpvNFgqFod5Z4Fnj8/mEQiGbzc7Ozlar1QtpH/D0du3adfXqyKhG/+7+rvG7hhicESw/D5wz+7ov7O0ewPmHLw8NRS4DCKEldnJyclQqVXt7O5/PZzAYCoUicUojgxgIBAIKhYLBYPD5/Pb2dpVKFcti/hwO59Ztzcr8wq0HTu481m80/xWzU4OlzjPr7bs0wthx5BetSSqVdnZ2PjFZCj7jx8G9e/dwHJfJZAUFBXV1dZs3by4qKsrKykpJSYn30ECUeb1em82m1WqvX78ulUqNRiOPx+vp6ZkvHTUGvJEm4wAAAM9JREFUZDIZ/vEh4/Qfb69byy1/8y2sYPWqHBo1DZaQgbncf/9jsTrvGO4rb+sUNyf9AXRYIBAIBAstikiAONFqtTiOBysQg2WvsLCQz+frdLp433cEQRA+n08mkzU01NMyEqXqM0hMSUmUyk0VfX19DodjUfcYvLXEn8PhmJqacjqdXq833mMBUZacnEyj0TAMC+uGmSAIgjCZTNPT0y6XC6ZnwVxUKnXFihV0Oj2s7uQCQWgBAAAQZfAZHwAAQJRBaAEAABBlEFoAAABE2X/5JTXz00o0tQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "utils.display_tree(gradient_boosting_regressor.estimators_[2][0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "utils.display_tree(gradient_boosting_regressor.estimators_[3][0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# XGBoost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9438806326863372"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import xgboost\n",
    "from xgboost import XGBRegressor\n",
    "xgboost_regressor = XGBRegressor(random_state=0,\n",
    "                             n_estimators=3,\n",
    "                             max_depth=2,\n",
    "                             reg_lambda=0,\n",
    "                             min_split_loss=1,\n",
    "                             learning_rate=0.7)\n",
    "xgboost_regressor.fit(features, labels)\n",
    "xgboost_regressor.score(features, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "utils.plot_regressor(xgboost_regressor, features, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       " -->\n",
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    "xgboost.to_graphviz(xgboost_regressor, num_trees=0)"
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    "xgboost.to_graphviz(xgboost_regressor, num_trees=1)"
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    "xgboost.to_graphviz(xgboost_regressor, num_trees=2)"
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  {
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   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
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     "metadata": {},
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   "source": [
    "xgboost_regressor.predict(features)"
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Calculations of similarity score"
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  {
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   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
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     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
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    "residuals = labels-0.5\n",
    "residuals"
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   "metadata": {},
   "outputs": [],
   "source": [
    "def score(l, lam=0):\n",
    "    if len(l)==0:\n",
    "        return 0\n",
    "    return sum(l)**2/(len(l)+lam)"
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  },
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   "metadata": {},
   "outputs": [
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       "98.0"
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     },
     "execution_count": 28,
     "metadata": {},
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   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
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      "0 98.0\n",
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      "\n",
      "[6.5 4.5] [6.5 0.5 1.5 0.5 4.5 3.5]\n",
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      "\n",
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      "124.13333333333333\n",
      "\n",
      "[6.5 4.5 6.5 0.5] [1.5 0.5 4.5 3.5]\n",
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      "[6.5 4.5 6.5 0.5 1.5] [0.5 4.5 3.5]\n",
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      "100.13333333333333\n",
      "\n",
      "[6.5 4.5 6.5 0.5 1.5 0.5] [4.5 3.5]\n",
      "66.66666666666667 32.0\n",
      "98.66666666666667\n",
      "\n",
      "[6.5 4.5 6.5 0.5 1.5 0.5 4.5] [3.5]\n",
      "85.75 12.25\n",
      "98.0\n",
      "\n"
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    "lam = 0\n",
    "for i in range(len(residuals)):\n",
    "    left = residuals[:i]\n",
    "    right = residuals[i:]\n",
    "    print(left, right)\n",
    "    print(score(left), score(right))\n",
    "    print(score(left, lam)+score(right, lam))\n",
    "    print()"
   ]
  },
  {
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   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "left_tree = [6.5, 4.5, 6.5]\n",
    "right_tree = [0.5, 1.5, 0.5, 4.5, 3.5]"
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  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "102.08333333333333\n",
      "[] [6.5, 4.5, 6.5]\n",
      "0 102.08333333333333\n",
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      "\n",
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      "\n",
      "[6.5, 4.5] [6.5]\n",
      "60.5 42.25\n",
      "102.75\n",
      "\n"
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   "source": [
    "residuals = left_tree\n",
    "print(score(residuals))\n",
    "for i in range(len(residuals)):\n",
    "    left = residuals[:i]\n",
    "    right = residuals[i:]\n",
    "    print(left, right)\n",
    "    print(score(left), score(right))\n",
    "    print(score(left, lam)+score(right, lam))\n",
    "    print()"
   ]
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  {
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   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
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     "text": [
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      "\n",
      "[0.5, 1.5] [0.5, 4.5, 3.5]\n",
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      "\n"
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    "residuals = right_tree\n",
    "print(residuals)\n",
    "for i in range(len(residuals)):\n",
    "    left = residuals[:i]\n",
    "    right = residuals[i:]\n",
    "    print(left, right)\n",
    "    print(score(left), score(right))\n",
    "    print(score(left, lam)+score(right, lam))\n",
    "    print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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